arXiv subjects

Minwoo Suh

Publications and source records attributed to Minwoo Suh.

At least 19 recordsLinked to original sources

arXiv2026

A gravity interpretation for the complex Euclidean saddles of the ABJM index

The superconformal index is a grand-canonical partition function that counts the 1/16-BPS states in the theory, and its Legendre transform with respect to reduced chemical potentials accounts for the Bekenstein-Hawking entropy of electrically charged rotating black holes in anti-de Sitter spacetime. However, the superconformal index of $\mathcal{N}=4$ super Yang-Mills theory appears to allow shifts in chemical potentials, and the contributions of the shifted terms diverge exponentially. This puzzle was resolved by showing the instability of wrapped D3-branes corresponding to the shifts in the gravitational on-shell action. Analogously, we study the ABJM index and the M5-brane instability criterion.

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arXiv2025

Non-conformal branes wrapped on a disk

We classify the disk solutions which are obtained from the spindle solutions from non-conformal D$p$-branes recently constructed by Boisvert and Ferrero. Then we study the global geometry of the disk solutions. We discover several common features of disk solutions, $e.g.$, monopoles and smeared branes, in most cases, but there are also exceptions.

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arXiv2024

M5-branes and D4-branes wrapped on disk $\times$ disk and spindle $\ltimes$ disk

We construct and study the $AdS_3\times\text{disk}\times\text{disk}$ and $AdS_2\times\text{disk}\times\text{disk}$ solutions of $U(1)^2$-gauged supergravity in seven and six dimensions, respectively. For the construction of $AdS_3\times\text{disk}\times\text{disk}$ solutions, we employ the previously constructed consistent truncation of seven-dimensional gauged supergravity on a disk. We uplift the solutions to eleven-dimensional and massive type IIA supergravity, respectively, and study the disk geometry of the solutions. We perform flux quantizations and calculate the holographic central charge and the Bekenstein-Hawking entropy, respectively. In a similar manner, we present the $AdS_3\times\text{spindle}\ltimes\text{disk}$ and $AdS_2\times\text{spindle}\ltimes\text{disk}$ solutions.

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arXiv2024

$AdS$ solutions with spindle factors

We provide the spindle interpretations of previously known solutions, $AdS_3\times\Sigma\times{S}^1\times{KE}_2^+\times{T}^2$ of type IIB supergravity and $AdS_2\times\Sigma\times{S}^1\times{KE}_4^+\times{T}^2$ of eleven-dimensional supergravity, where $\Sigma$ is a spindle factor. For the $AdS_3$ solutions, the internal space of $\Sigma\times{S}^1\times{KE}_2^+$ was previously known as the $\mathscr{Y}^{p,q}$ manifold, which shares the identical topology of the $Y^{p,q}$ manifolds. Unlike the previously known spindle solutions, the gauged supergravity origin and the field theory dual of the solutions are not clear at the moment. We perform the flux quantizations and calculate the holographic central charge and the Bekenstein-Hawking entropy of the presumed black hole solutions, respectively.

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arXiv2024

Spindle black holes and theories of class $\mathcal{F}$

We construct solutions in the form of $AdS_2\timesΣ$, where $Σ$ denotes a spindle geometry, within a particular 4d $\mathcal{N}=2$ gauged supergravity with vector multiplets and a charged hypermultiplet stemming from a consistent truncation of 6d matter coupled $F(4)$ gauged supergravity on a Riemann surface. We also compute the Bekenstein-Hawking entropy for the presumed asymptotically $AdS_4$ black hole solutions, providing a dual prediction for the spindle index of 3d superconformal field theories falling under the class $\mathcal{F}$. Notably, the gravitational block description of the solutions accurately replicates the entropy and the values of scalar fields at the two orbifold points of the spindle, validating our findings.

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arXiv2024

M2-branes wrapped on a topological disk

Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study M2-branes on a disk with non-trivial holonomies at the boundary. In four-dimensional $U(1)^4$-gauged $\mathcal{N}=2$ supergravity, we find supersymmetric $AdS_2$ solutions from M2-branes wrapped on a topological disk in Calabi-Yau two-, three- and four-folds. We uplift the solutions to eleven-dimensional supergravity. For the solutions from topological disk in Calabi-Yau four-folds, the Bekenstein-Hawking entropy is finite and well-defined. On the other hand, from the topological disk in Calabi-Yau two- and three-folds, we could not find solutions with finite Bekenstein-Hawking entropy.

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arXiv2024

Spindle black holes and mass-deformed ABJM

By extending the method developed by Arav, Gauntlett, Roberts and Rosen, we construct supersymmetric $AdS_2\timesΣ$ solutions of gauged $\mathcal{N}=8$ supergravity which are asymptotic to the $SU(3)\times{U}(1)$-invariant Warner fixed point, where $Σ$ is a spindle. The Warner fixed point is dual to the mass-deformed ABJM theory. The solutions are in the anti-twist class. We numerically calculate the Bekenstein-Hawking entropy of the presumed black holes with the $AdS_2\timesΣ$ horizon.

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arXiv2024

Equivariant localization for wrapped M5-branes and D4-branes

Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of $AdS_{4,5}\times{M}_2$, respectively, where $M_2$ is a two-dimensional surface with a Killing vector. We construct equivariantly closed forms from spinor bilinears of Killing spinors. From the integration of equivariantly closed forms via the Berline-Vergne-Atiyah-Bott fixed point formula, we derive the gravitational blocks which were previously conjectured. For the construction of equivariantly closed forms, we formulate six- and seven-dimensional gauged supergravity in the very special geometry.

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arXiv2024

M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

We construct multi-charged $AdS_3\timesΣ\timesΣ_{\mathfrak{g}}$ and $AdS_2\timesΣ\timesΣ_{\mathfrak{g}}$ solutions from M5-branes and D4-branes wrapped on a direct product of spindle, $Σ$, and Riemann surface, $Σ_{\mathfrak{g}}$. Employing uplift formula, we obtain these solutions by uplifting the multi-charged $AdS_3\timesΣ$ and $AdS_2\timesΣ$ solutions to seven and six dimensions, respectively. We further uplift the solutions to eleven-dimensional and massive type IIA supergravity and calculate the holographic central charge and the Bekenstein-Hawking entropy, respectively. We perform the gravitational block calculations and, for the $AdS_3\timesΣ\timesΣ_{\mathfrak{g}}$ solutions, the result precisely matches the holographic central charge from the supergravity solutions.

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arXiv2023

Spindle black holes in AdS$_4 \times$SE$_7$

We construct new classes of supersymmetric AdS$_2 \times Σ$ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with $Σ$ the complex weighted projective space known as a spindle. These solutions can be viewed as near-horizon geometries of asymptotically Anti de-Sitter (AdS$_4$) black holes with magnetic fluxes that admit embedding in 11d on Sasaki-Einstein (SE$_7$) manifolds, which renders them of holographic interest. We show that in each case the Bekenstein-Hawking entropy follows from the procedure of gluing two gravitational blocks, ultimately determined by SE$_7$ data. This allows us to establish the general form of the gravitational blocks in gauged 4d ${\mathcal N} =2$ supergravity with charged scalars and massive vectors. Holographically, our results provide a large N answer for the spindle index with anti-twist and additional mesonic or baryonic fluxes of a number of ${\mathcal N} =2$ Chern-Simons-matter theories.

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arXiv2023

Brane-jet stabilities from Janus and Sasaki-Einstein

We show that there are certain perturbatively stable non-supersymmetric $AdS$ vacua which are also brane-jet stable. Also we extend the analysis of brane-jets to the $AdS$ vacua from curved domain walls like Janus solutions. First, we apply the brane-jet analysis to the non-supersymmetric Janus solutions of type IIB supergravity found by Bak, Gutperle and Hirano. Second, we study the brane-jet of $AdS_4$ vacua from eleven-dimensional supergravity on Sasaki-Einstein manifolds: the supersymmetric and the skew-whiffed Freund-Rubin, the Pope-Warner, and the Englert solutions. Third, we examine the non-supersymmetric $AdS_4$ vacua from $Q^{1,1,1} $ and $M^{1,1,1}$ manifolds discovered by Cassani, Koerber and Varela. It turns out that all the $AdS$ vacua we consider in this work are brane-jet stable. Especially, the Janus, the skew-whipped Freund-Rubin, and the $AdS_4$ vacua from $Q^{1,1,1} $ and $M^{1,1,1}$ are perturbatively stable within known subsectors of truncations and also brane-jet stable.

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arXiv2023

D4-branes wrapped on a topological disk

Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study D4-branes wrapped on a disk with a non-trivial holonomy at the boundary. In $F(4)$ gauged supergravity in six dimensions, we find supersymmetric $AdS_4$ solutions and uplift the solutions to massive type IIA supergravity. We calculate the holographic free energy of dual three-dimensional superconformal field theories.

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arXiv2023

Baryonic spindles from conifolds

We construct supersymmetric $AdS_3\times{\Sigma}$ solutions with baryonic charge in the Betti-vector truncation of five-dimensional gauged $\mathcal{N}=4$ supergravity where ${\Sigma}$ is a spindle. The truncation is obtained from type IIB supergravity on $AdS_5\times{T}^{1,1}$. The solutions realize supersymmetry by the anti-twist. The dual field theories are 2d $\mathcal{N}=(0,2)$ SCFTs from the Klebanov-Witten theory compactified on a spindle. We calculate the holographic central charge of the solutions and it precisely matches the result from the gravitational block.

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arXiv2023

D4-branes wrapped on four-dimensional orbifolds through consistent truncation

We construct a consistent truncation of six-dimensional matter coupled $F(4)$ gauged supergravity on a cornucopia of two-dimensional surfaces including a spindle, disc, domain wall and other novel backgrounds to four-dimensional minimal gauged supergravity. Using our consistent truncation we uplift known AdS$_2\times Σ_1$ solutions giving rise to four-dimensional orbifold solutions, AdS$_2\timesΣ_1\ltimesΣ_2$. We further uplift our solutions to massive type IIA supergravity by constructing the full uplift formulae for six-dimensional U$(1)^2$-gauged supergravity including all fields and arbitrary Romans mass and gauge coupling. The solutions we construct are naturally interpreted as the near-horizon geometries of asymptotically AdS$_6$ black holes with a four-dimensional orbifold horizon. Alternatively, one may view them as the holographic duals of superconformal quantum mechanical theories constructed by compactifying five-dimensional USp$(2N)$ theory living on a stack of D4-D8 branes on the four-dimensional orbifolds. As a first step to identifying these quantum mechanical theories we compute the Bekenstein--Hawking entropy holographically.

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arXiv2022

S-folds and $AdS_{3}$ flows from the D3-brane

We investigate supersymmetric flows in type IIB supergravity that preserve an $SO(2,2)$ space-time symmetry and asymptote to $AdS_{5} \times S^5$ at both endpoints. The flows are constructed as Janus-type $\mathbb{R} \times AdS_{3}$ BPS domain-walls in the effective four-dimensional $[SO(1,1)\times{S}O(6)]\ltimes\mathbb{R}^{12}$ gauged maximal supergravity describing the massless sector of type IIB supergravity compactified on $S^1 \times S^{5}$. The compactification includes an S-duality hyperbolic twist along the $S^1$ which, when combined with an appropriate choice of boundary conditions for the running scalars, generates special flows that develop an S-fold regime at their core, thus enhancing the space-time symmetry there to $SO(2,3)$. Via the AdS/CFT correspondence, the flows constructed here are conjectured to describe conformal interfaces in a circle compactification of $\mathcal{N}=4$ $\textrm{SYM}_{4}$.

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arXiv2022

D3-branes and M5-branes wrapped on a topological disc

Employing the method applied to construct $AdS_5$ solutions from M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we construct supersymmetric $AdS_3$ solutions from D3-branes and M5-branes wrapped on a disc with non-trivial holonomies at the boundary. In five-dimensional $U(1)^3$-gauged $\mathcal{N}=2$ supergravity, we find $\mathcal{N}=(2,2)$ and $\mathcal{N}=(4,4)$ supersymmetric $AdS_3$ solutions. We uplift the solutions to type IIB supergravity and obtain D3-branes wrapped on a topological disc. We also uplift the solutions to eleven-dimensional supergravity and obtain M5-branes wrapped on a product of topological disc and Riemann surface. For the $\mathcal{N}=(2,2)$ solution, holographic central charges are finite and well-defined. On the other hand, we could not find $\mathcal{N}=(4,4)$ solution with finite holographic central charge. Finally, we show that the topological disc we obtain is, in fact, identical to a special case of the multi-charge spindle solution.

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arXiv2021

On-shell action and the Bekenstein-Hawking entropy of supersymmetric black holes in $AdS_6$

Recently, entropy of static supersymmetric black holes in $AdS_6$ was microscopically counted by the topologically twisted index of five-dimensional superconformal field theories. However, the AdS/CFT dictionary states that the partition function of the boundary field theory corresponds to the on-shell action of the bulk quantum gravity. In this paper, we aim to explain the microscopic counting of black hole entropy by the topologically twisted index. We calculate the renormalized on-shell action and show that the on-shell action equals the Bekenstein-Hawking entropy of the supersymmetric black holes in $AdS_6$.

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arXiv2020

Uplifting supersymmetric $AdS_6$ black holes to type II supergravity

Employing uplift formulae, we uplift supersymmetric $AdS_6$ black holes from $F(4)$ gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric $AdS_6$ black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric $AdS_6$ black holes asymptotic to the non-Abelian T-dual of the Brandhuber-Oz solution. For the uplifted black hole solutions, we calculate the holographic entanglement entropy. In massive type IIA supergravity, it precisely matches the Bekenstein-Hawking entropy of the black hole solutions.

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