arXiv subjects

Parinya Karndumri

Publications and source records attributed to Parinya Karndumri.

At least 19 recordsLinked to original sources

arXiv2026

D4-branes wrapped on topological disks from matter-coupled F(4) gauged supergravity

We study a number of supersymmetric $AdS_4\times \Sigma$ solutions with $\Sigma$ being a topological disk with non-trivial $U(1)$ holonomy on the boundary or a ``half-spindle'' from matter-coupled $F(4)$ gauged supergravity. The gauged supergravity is coupled to three vector multiplets with $SO(3)\times SO(3)$ gauge group. The resulting solutions preserve eight supercharges and $SO(2)\times SO(2)$ or $SO(2)_{\text{diag}}$ symmetries and are expected to be dual to $N=2$ SCFTs in three dimensions arising from compactifications of five-dimensional $N=2$ SCFT on a half-spindle. All of the solutions lie within the $U(1)\times U(1)$ subsector of the matter-coupled $F(4)$ gauged supergravity that can be embedded in massive type IIA theory. After uplifted to ten dimensions, the solutions can be interpreted as a system of D4-D8-branes wrapped on $\Sigma$. Some of the solutions are asymptotic to a locally $AdS_6$ geometry and can be identified as codimension-2 conformal defects within the $N=2$ SCFT in five dimensions. For these solutions, the circle inside $\Sigma$ decompactifies in the $AdS_6$ limit rendering the holographic free energy infinite. There also exist solutions with finite free energy in the dual three-dimensional SCFTs. In addition, we show that the results both extend the previously known solutions and provide a novel class of solutions.

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arXiv2026

Conformal line defects from matter-coupled 5D N=4 gauged supergravity

We study a number of holographic solutions describing conformal line defects within $N=2$ SCFTs from matter-coupled $N=4$ gauged supergravity in five dimensions. For $SO(2)_D\times SO(3)$ gauge group, the gauged supergravity admits two supersymmetric $AdS_5$ vacua with $N=4$ and $N=2$ unbroken supersymmetries. It turns out that only solutions that are asymptotic to the $N=4$ vacuum are possible leading to line defects within the dual $N=2$ SCFT. In gauged supergravity with $SO(2)\times ISO(3)$ gauge group, we find similar solutions with the $N=2$ SCFT appearing in the IR while the UV field theories correspond to six-dimensional $N=(0,2)$ field theories arising from M5-branes wrapped on a hyperbolic space $H^2$. The solution with $SO(2)\times SO(3)$ symmetry is also uplifted to eleven dimensions via a consistent truncation on $H^2\times S^4$. Finally, for gauged supergravity with $SO(2)\times SO(3)\times SO(3)$ gauge group that admits two $N=4$ supersymmetric $AdS_5$ vacua, we find a solution describing a line defect that interpolates between these two vacua as well as a solution with only one asymptotic $AdS_5$ geometry.

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arXiv2026

Supersymmetric quantum mechanics from wrapped D4-branes

We find a large class of holographic solutions describing D4-branes wrapped on 4-manifolds $\mathcal{M}_4$ with constant curvature leading to gravity duals of supersymmetric quantum mechanics in the IR via twisted compactifications. The manifolds $\mathcal{M}_4$ considered here are four-dimensional spheres and hyperbolic spaces, products of two Riemann surfaces, and Kahler four-cycles. The solutions are obtained from the maximal gauged supergravity in six dimensions with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)\ltimes \mathbb{R}^4$ gauge groups. These gauged supergravities can be embedded in type IIA theory via consistent truncations on $H^{p,q}\times \mathbb{R}^{5-p-q}$ and $H^{p,q}\times\mathbb{R}^{4-p-q}\times S^1$, respectively. The solutions take the form of $t\times \mathcal{M}_4$-sliced domain walls interpolating between locally flat domain walls and singular geometries in the IR. Upon uplifted to type IIA theory, many solutions admit physical IR singularities and could holographically describe supersymmetric quantum mechanics arising from twisted compactifications of D4-branes on $\mathcal{M}_4$.

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arXiv2025

Superconformal interfaces from 5D N=4 gauged supergravity

We find a large class of supersymmetric Janus solutions from five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. The gauged supergravity admits four supersymmetric $AdS_5$ vacua, two $N=4$ with $SO(2)_D\times SO(3)\times SO(3)$ and $SO(2)_D\times SO(3)_{\textrm{diag}}$ symmetric $AdS_5$ vacua and two $N=2$ with $SO(2)_{\textrm{diag}}\times SO(3)$ and $SO(2)_{\textrm{diag}}$ symmetric ones. In a truncation to three vector multiplets, the gauge group is given by $SO(2)\times SO(3)\times SO(3)$, and the resulting gauged supergravity admits only two $N=4$ supersymmetric $AdS_5$ vacua with $SO(2)\times SO(3)\times SO(3)$ and $SO(2)\times SO(3)_{\textrm{diag}}$ residual symmetries. By considering the $SO(2)_{\textrm{diag}}$ invariant sector within this truncation, we find a number of supersymetric Janus interfaces between the two $N=4$ vacua on both sides as well as an RG-flow interface between $SO(2)\times SO(3)\times SO(3)$ and $SO(2)\times SO(3)_{\textrm{diag}}$ symmetric vacua on each side. By repeating the analysis in the full $SO(2)_D\times SO(3)\times SO(3)$ gauged supergravity, we find Janus solutions interpolating between the aforementioned four supersymmetric $AdS_5$ vacua as well as examples of multi-Janus interfaces between these vacua.

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arXiv2025

Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity

We study various types of holographic solutions from five-dimensional $N=4$ gauged supergravity coupled to three vector multiplets with $SO(2)\times ISO(3)$ gauge group. This gauged supergravity can be obtained from the maximal gauged supergravity in seven dimensions on a Riemann surface. For a negatively curved Riemann surface $H^2$, the resulting five-dimensional gauged supergravity admits a supersymmetric $N=4$ $AdS_5$ critical point. This $AdS_5$ vacuum is dual to an $N=2$ superconformal field theory (SCFT) arising from M5-branes wrapped on $H^2$. We study holographic RG flows between this SCFT and $N=2$ non-conformal phases by deformations involving relevant, marginal and irrelevant operators. Solutions describing conformal interfaces between these non-conformal phases and singular boundaries are also given. We finally study a number of supersymmetric $AdS_5$ black string and black hole solutions holographically dual to RG flows across dimensions from the $N=2$ SCFT to two-dimensional SCFTs and superconformal quantum mechanics in the IR. A number of solutions describing black strings and black holes in asymptotically domain wall space-time are also found. All of the solutions can be uplifted to M-theory by a consistent truncation on $H^2\times S^4$.

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arXiv2025

Wrapped D4-branes from maximal 6D gauged supergravity

We study a large class of domain wall solutions with $Mkw_3\times \Sigma^2$ and $Mkw_2\times \Sigma^3$ slices from maximal gauged supergravity in six dimensions. $\Sigma^2$ and $\Sigma^3$ are given by a Riemann surface and a $3$-manifold with constant curvature while $Mkw_{3,2}$ denotes three/two-dimensional Minkowski space. We consider the maximal gauged supergravity with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)\ltimes \mathbb{R}^4$ gauge groups arising from an $S^1$ reduction of seven-dimensional maximal gauged supergravity with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)$ gauge groups. The two types of gauge group can be embedded in type IIA theory via consistent truncations on $H^{p,q}\times \mathbb{R}^{5-p-q}$ and $H^{p,q}\times\mathbb{R}^{4-p-q}\times S^1$, respectively. By performing topological twists on $\Sigma^2$ and $\Sigma^3$, we find a number of solutions interpolating between locally flat domain walls in the UV and curved domain walls with $Mkw_3\times \Sigma^2$ and $Mkw_2\times \Sigma^3$ slices in the IR. Many solutions admit physical IR singularities and can be interpreted as holographic RG flows across dimensions from five-dimensional field theories to three- and two-dimensional non-conformal field theories in the IR. Upon uplifted to type IIA theory, we expect the solutions to describe brane configurations involving D4-branes wrapped on $\Sigma^2$ and $\Sigma^3$.

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arXiv2025

Janus and RG-flow interfaces from 5D N=4 gauged supergravity

We study five-dimensional $N=4$ gauged supergravity coupled to three vector multiplets with $SO(2)_D\times SO(3)$ gauge group. The gauged supergravity admits two supersymmetric $AdS_5$ vacua. One of the vacua, at the origin of the scalar manifold $\mathbb{R}^+\times SO(5,3)/SO(5)\times SO(3)$, preserves $N=4$ supersymmetry and the full $SO(2)_D\times SO(3)$ gauge symmetry. The second $AdS_5$ vacuum is $N=2$ supersymmetric and invariant under $SO(2)_{\textrm{diag}}$ which is a diagonal subgroup of $SO(2)_D$ and $SO(2)\subset SO(3)$. By considering a truncation to $SO(2)_{\textrm{diag}}$ invariant scalars, we find a class of Janus solutions interpolating among these vacua. These solutions should be holographically dual to conformal interfaces within the dual $N=1$ and $N=2$ SCFTs in four dimensions. In addition, we also find examples of solutions describing RG-flow interfaces between $N=1$ and $N=2$ SCFTs on each side of the interfaces. All of the solutions could possibly be uplifted to eleven dimensions by a consistent truncation of M-theory on $M_3\times S^2\times S^1$ with a 3-manifold $M_3$.

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arXiv2025

Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity

We study holographic solutions describing RG flows across dimensions from five-dimensional $N=2$ SCFT to SCFTs in three and two dimensions using matter-coupled $F(4)$ gauged supergravity with $ISO(3)\times U(1)$ gauge group. By performing topological twists implemented by $SO(2)$, $SO(2)\times SO(2)$ and $SO(3)$ gauge fields, we find a number of $AdS_4\times H^2$ and $AdS_3\times H^3$ solutions preserving eight and four supercharges. These geometries are identified with conformal fixed points in three and two dimensions, respectively. The corresponding flow solutions are obtained numerically and can be interpreted as black membranes and black strings in asymptotically $AdS_6$ space. In addition, we have constructed charged domain wall solutions with $AdS_2\times S^3$ and $AdS_3\times S^2$ slicing. These solutions are supported by a non-vanishing two-form field and describe conformal line and surface defects within the $N=2$ SCFT in five dimensions, respectively. All of these solutions can be uplifted to type IIB theory via consistent truncations on $S^2\times Σ$ with $Σ$ being a Riemann surface.

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arXiv2025

Supersymmetric AdS$_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity

We study supersymmetric $AdS_6$ black holes from matter-coupled $F(4)$ gauged supergravity coupled to four vector multiplets with $ISO(3)\times U(1)$ gauge group. This gauged supergravity admits a maximally supersymmetric $AdS_6$ vacuum with $SO(3)\subset ISO(3)$ symmetry. We find a number of new supersymmetric $AdS_2\times \mathcal{M}_4$ solutions by performing topological twists along $\mathcal{M}_4$. For $\mathcal{M}_4$ being a product of two Riemann surfaces $Σ\times \widetildeΣ$, we perform a twist by $SO(2)\times U(1)$ gauge fields and find $AdS_2\times Σ\times \widetildeΣ$ solutions for at least one of the Riemann surface being negatively curved. For $\mathcal{M}_4$ being a Kahler four-cycle $\mathcal{M}_{\textrm{K}4}$, a twist by $SO(2)\times U(1)$ gauge fields leads to $AdS_2\times \mathcal{M}_{\textrm{K}4}^-$ solutions for negatively curved $\mathcal{M}_{\textrm{K}4}$. Finally, performing a twist by turning on $SO(3)$ gauge fields in the case of $\mathcal{M}_4$ being a Cayley four-cycle $\mathcal{M}_{\textrm{C}4}$ also leads to $AdS_2\times \mathcal{M}_{\textrm{C}4}^-$ solutions for negatively curved $\mathcal{M}_{\textrm{C}4}$. We give numerical black hole solutions interpolating between all of these $AdS_2\times \mathcal{M}_4$ near horizon geometries and the asymptotically locally $AdS_6$ vacuum. It is also possible to uplift all of these solutions to type IIB theory via consistent truncations on $S^2\times Σ$ leading to a new class of supersymmetric $AdS_2\times \mathcal{M}_4\times S^2\times Σ$ solutions.

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arXiv2025

Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity

We study six-dimensional $F(4)$ gauged supergravity coupled to four vector multiplets with a non-semisimple $ISO(3)\times U(1)$ gauge group. This gauged supergravity arises from a consistent truncation of type IIB string theory on $S^2\times Σ$ with $Σ$ being a Riemann surface. We find that the gauged supergravity admits two $SO(3)$ symmetric $AdS_6$ vacua, one with $N=(1,1)$ supersymmetry and the other one non-supersymmetric. We compute all scalar masses at these critical points and find that only the supersymmetric $AdS_6$ vacuum is stable. By truncating to $SO(3)\times U(1)$ and $SO(2)\times U(1)$ invariant sectors, we study holographic RG flow solutions from this critical point to a number of non-conformal phases of the dual $N=2$ SCFT in five dimensions. Finally, we give some examples of supersymmetric Janus solutions describing conformal interfaces within the five-dimensional SCFT. All of these solutions provide first holographic results from matter-coupled $F(4)$ gauged supergravity with non-semisimple gauge groups.

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arXiv2025

Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity

We study supersymmetric Janus solutions from matter-coupled $F(4)$ gauged supergravity coupled to three vector multiplets and $SO(4)\sim SO(3)\times SO(3)$ gauge group. There are two supersymmetric $AdS_6$ vacua preserving all supersymmetries with $SO(3)\times SO(3)$ and $SO(3)_{\textrm{diag}}$ symmetries dual to $N=2$ SCFTs in five dimensions. We consider a truncation to $SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$ singlet scalars and find a number of new supersymmetric Janus solutions preserving eight supercharges. These solutions holographically describe conformal interfaces within $N=2$ five-dimensional SCFTs involving deformations by source terms and vacuum expectation values of relevant and irrelevant operators. Apart from the Janus solutions interpolating between $SO(3)\times SO(3)$ $AdS_6$ vacua, some of the solutions have $SO(3)_{\textrm{diag}}$ $AdS_6$ vacua generated by holographic RG flows from the $SO(3)\times SO(3)$ phases on both sides. We also give an evidence for solutions describing RG-flow interfaces with $SO(3)\times SO(3)$ $AdS_6$ vacuum on one side and $SO(3)_{\textrm{diag}}$ $AdS_6$ vacuum on the other side. The solutions provide first examples of Janus solutions involving more than one $AdS_6$ vacuum in six-dimensional gauged supergravity.

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arXiv2025

Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity

We study supersymmetric solutions of matter-coupled $F(4)$ gauged supergravity in the forms of $AdS_2\times S^3$- and $AdS_3\times S^2$-sliced domain walls with a non-vanishing two-form field from the supergravity multiplet. These two types of solutions holographically describe conformal line and surface defects within five-dimensional $N=2$ SCFTs, respectively. In the case of $SO(3)\times SO(3)$ gauge group obtained by coupling $F(4)$ supergravity to three vector multiplets, we find charged domain wall solutions describing holographic RG flows between two supersymmetric $AdS_6$ vacua with a running two-form field supporting the line and surface defects. For a particular case of one vector multiplet with $SO(3)\times U(1)$ gauge group, we find solutions describing RG flows from an $AdS_6$ vacuum to physically acceptable singular geometries in the presence of defects. This class of solutions can be uplifted to type IIB theory using a consistent truncation obtained from $SO(5,5)$ exceptional field theory with half-maximal structures.

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arXiv2024

Supersymmetric domain walls in maximal 6D gauged supergravity III

We continue our study of gaugings the maximal $N=(2,2)$ supergravity in six dimensions with gauge groups obtained from decomposing the embedding tensor under $\mathbb{R}^+\times SO(4,4)$ subgroup of the global symmetry $SO(5,5)$. Supersymmetry requires the embedding tensor to transform in $\mathbf{144}_c$ representation of $SO(5,5)$. Under $\mathbb{R}^+\times SO(4,4)$ subgroup, this leads to the embedding tensor in $(\mathbf{8}^{\pm 3}$, $\mathbf{8}^{\pm 1},\mathbf{56}^{\pm 1})$ representations. Gaugings in $\mathbf{8}^{\pm 3}$ representations lead to a translational gauge group $\mathbb{R}^8$ while gaugings in $\mathbf{8}^{\pm 1}$ representations give rise to gauge groups related to the scaling symmetry $\mathbb{R}^+$. On the other hand, the embedding tensor in $\mathbf{56}^{\pm 1}$ representations gives $CSO(4-p,p,1)\sim SO(4-p,p)\ltimes \mathbb{R}^4\subset SO(4,4)$ gauge groups with $p=0,1,2$. More interesting gauge groups can be obtained by turning on more than one representation of the embedding tensor subject to the quadratic constraints. In particular, we consider gaugings in both $\mathbf{56}^{-1}$ and $\mathbf{8}^{+3}$ representations giving rise to larger $SO(5-p,p)$ and $SO(4-p,p+1)$ gauge groups for $p=0,1,2$. In this case, we also give a number of half-supersymmetric domain wall solutions preserving different residual symmetries. The solutions for gaugings obtained only from $\mathbf{56}^{-1}$ representation are also included in these results when the $\mathbf{8}^{+3}$ part is accordingly turned off.

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arXiv2024

New supersymmetric AdS$_6$ black holes from matter-coupled F(4) gauged supergravity

We study supersymmetric $AdS_6$ black holes from matter-coupled $N=(1,1)$ gauged supergravity coupled to three vector multiplets and $SO(3)\times SO(3)$ gauge group. This gauged supergravity admits two supersymmetric $AdS_6$ vacua preserving all supersymmetries with $SO(3)\times SO(3)$ and $SO(3)_{\textrm{diag}}$ symmetries. By considering a truncation to $SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$ invariant sector, we find a number of new supersymmetric $AdS_2\times \mathcal{M}_4$ solutions by performing a topological twist along $\mathcal{M}_4$. For $\mathcal{M}_4$ being a product of two Riemann surfaces $Σ\times \widetildeΣ$ and a Kahler four-cycle, the twist is implemented by $SO(2)_{\textrm{diag}}$ gauge field while, for $\mathcal{M}_4$ given by a Cayley four-cycle, the twist is performed by turning on $SO(3)_{\textrm{diag}}$ gauge fields. We give numerical black hole solutions interpolating between $AdS_2\times \mathcal{M}_4$ near horizon geometries and asymptotically locally $AdS_6$ vacua. Among these solutions, there are solutions interpolating between both of the supersymmetric $AdS_6$ vacua and near horizon geometries. The solutions can also be interpreted as holographic RG flows from five-dimensional SCFTs to superconformal quantum mechanics.

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arXiv2024

New Janus interfaces from four-dimensional N=3 gauged supergravity

We construct new supersymmetric Janus solutions from four-dimensional $N=3$ gauged supergravity coupled to eight vector multiplets with $SO(3)\times SU(3)$ gauge group. This gauged supergravity admits a supersymmetric $N=3$ $AdS_4$ vacuum with the full $SO(3)\times SU(3)$ symmetry unbroken and a family of supersymmetric $N=1,2,3$ and non-supersymmetric $AdS_4$ vacua with different residual symmetries. These are expected to be dual to supersymmetric Chern-Simons-Matter (CSM) theories in three dimensions via the AdS/CFT correspondence. By considering a truncation to three complex scalar fields, we find a number of Janus solutions preserving $N=1$ supersymmetry that describes conformal interfaces within $N=3$ CSM theories with $SO(3)\times SU(3)$ and $SU(2)_{\textrm{diag}}\times U(1)$ symmetries.

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arXiv2023

New supersymmetric $AdS_5$ black strings from 5D $N=4$ gauged supergravity

We find a large class of new supersymmetric $AdS_5$ black strings from five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. These solutions have near horizon geometries of the form $AdS_3\times Σ^2$ for $Σ^2$ being a two-sphere ($S^2$) or a hyperbolic space ($H^2$). There are four supersymmetric $AdS_5$ vacua with $N=4$ and $N=2$ supersymmetries. By performing topological twists along $Σ^2$ with $SO(2)\times SO(2)_{\textrm{diag}}$ and $SO(2)_{\textrm{diag}}$ gauge fields, we find a number of $AdS_3\times Σ^2$ fixed points describing near horizon geometries of black strings in asymptotically $AdS_5$ spaces. Most of the solutions take the form of $AdS_3\times H^2$ with only one being $AdS_3\times S^2$ preserving $SO(2)_{\textrm{diag}}$ symmetry. We also give the corresponding black string solutions interpolating between asymptotically locally $AdS_5$ vacua and the near horizon $AdS_3\times Σ^2$ geometries. There are a number of solutions flowing from one, two or three $AdS_5$ vacua to an $AdS_3\times Σ^2$ fixed point. These solutions can also be considered as holographic RG flows across dimensions from $N=2$ and $N=1$ SCFTs in four dimensions to two-dimensional SCFTs with $N=(2,0)$ or $N=(0,2)$ supersymmetry.

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arXiv2023

AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity

We study five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. There are four supersymmetric $AdS_5$ vacua in the truncation to $SO(2)_{\textrm{diag}}$ invariant scalars. Two of these vacua preserve the full $N=4$ supersymmetry with $SO(2)_D\times SO(3)\times SO(3)$ and $SO(2)_D\times SO(3)_{\textrm{diag}}$ symmetries. These have an analogue in $N=4$ gauged supergravity with $SO(2)\times SO(3)\times SO(3)$ gauge group. The other two $AdS_5$ vacua preserve only $N=2$ supersymmetry with $SO(2)_{\textrm{diag}}\times SO(3)$ and $SO(2)_{\textrm{diag}}$ symmetry. The former has an analogue in the previous study of $SO(2)_D\times SO(3)$ gauge group while the latter is a genuinely new $N=2$ $AdS_5$ vacuum. These vacua are dual to $N=2$ and $N=1$ superconformal field theories (SCFTs) in four dimensions with different flavour symmetries. We give the full scalar mass spectra at all of the $AdS_5$ critical points which provide information on conformal dimensions of the dual operators. Finally, we study holographic RG flows interpolating between these $AdS_5$ vacua and find a new class of solutions. In addition to the RG flows from the trivial $SO(2)_D\times SO(3)\times SO(3)$ $N=4$ critical point, at the origin of the scalar manifold, to all the other critical points, there is a family of RG flows from the trivial $N=4$ critical point to the new $SO(2)_{\textrm{diag}}$ $N=2$ critical point that pass arbitrarily close to the $SO(2)_D\times SO(3)_{\textrm{diag}}$ $N=4$ critical point.

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arXiv2022

Five-branes wrapped on topological disks from 7D N=2 gauged supergravity

We study supersymmetric $AdS_5\times Σ$ solutions, for $Σ$ being a topological disk with non-trivial $U(1)$ holonomy at the boundary or "half-spindle", in seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets. We consider compact and non-compact gauge groups, $SO(4-p,p)$, for $p=0,1,2$, and find a number of $AdS_5\times Σ$ solutions with $SO(2)\times SO(2)$ and $SO(2)_{\text{diag}}$ residual symmetry from $SO(4)$ and $SO(2,2)$ gauge groups. We also find an $SO(2)_R\subset SO(3)_R\sim SU(2)_R$ symmetric solution which can be regarded as a solution of pure $N=2$ gauged supergravity with $SO(3)_R$ gauge group and all the fields from vector multiplets vanishing. The solutions preserve $\frac{1}{2}$ of the original $N=2$ supersymmetry and could be interpreted as supergravity duals of $N=1$ superconformal field theories in four dimensions. In particular, some of these solutions can be embedded in ten or eleven dimensions in which a description in terms of five-branes wrapped on a topological disk can be given.

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