arXiv subjects

Changhyun Ahn

Publications and source records attributed to Changhyun Ahn.

At least 73 records · Page 4Linked to original sources

arXiv2009

Meta-Stable Brane Configurations by Dualizing the Two Gauge Groups

We consider the N=1 supersymmetric gauge theories with product gauge groups. The two kinds of D6-branes in the electric theory are both displaced and rotated respectively where these deformations are interpreted as the mass terms and quartic terms for the two kinds of flavors. Then we apply the Seiberg dual to the whole gauge group factors by moving the branes and obtain the corresponding dual gauge theories. By analyzing the magnetic superpotentials consisting of an interaction term between a magnetic meson field and dual matters as well as the above deformations for each gauge group, we present the type IIA nonsupersymmetric meta-stable brane configurations.

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arXiv2009

New N=2 Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity

We construct the 11-dimensional lift of the known N=2 supersymmetric RG flow solution in 4-dimensional N=8 gauged supergravity. The squashed and stretched 7-dimensional internal metric preserving SU(2) x U(1) x U(1)_R symmetry contains an Einstein-Kahler 2-fold which is a base manifold of 5-dimensional Sasaki-Einstein Y^{p, q} space found in 2004. The nontrivial r(transverse to the domain wall)-dependence of the AdS_4 supergravity fields makes the Einstein-Maxwell equations consistent not only at the critical points but also along the supersymmetric whole RG flow connecting two critical points. With an appropriate 3-form gauge field, we find an exact solution to the 11-dimensional Einstein-Maxwell equations corresponding to the above lift of the SU(2) x U(1) x U(1)_R-invariant RG flow. The particular limits of this solution give rise to the previous solutions with SU(3) x U(1)_R or SU(2) x SU(2) x U(1)_R.

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arXiv2009

The Eleven-Dimensional Uplift of Four-Dimensional Supersymmetric RG Flow

The squashed and stretched 7-dimensional internal metric preserving U(1) x U(1) x U(1)_R symmetry possesses an Einstein-Kahler 2-fold which is a base manifold of 5-dimensional Sasaki-Einstein L^{p, q, r} space. The r(transverse to the domain wall)-dependence of the two 4-dimensional supergravity fields, that play the role of geometric parameters for squashing and stretching, makes the 11-dimensional Einstein-Maxwell equations consistent not only at the two critical points but also along the whole N=2 supersymmetric RG flow connecting them. The Ricci tensor of the solution has common feature with the previous three 11-dimensional solutions. The 4-forms preserve only U(1)_R symmetry for other generic parameters of the metric. We find an exact solution to the 11-dimensional Einstein-Maxwell equations corresponding to the lift of the 4-dimensional supersymmetric RG flow.

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arXiv2009

Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid

We compute the spin-2 Kaluza-Klein modes around a warped product of AdS_4 and a seven-ellipsoid. This background with global G_2 symmetry is related to a U(N) x U(N) N=1 superconformal Chern-Simons matter theory with sixth order superpotential. The mass-squared in AdS_4 is quadratic in G_2 quantum number and KK excitation number. We determine the dimensions of spin-2 operators using the AdS/CFT correspondence. The connection to N=2 theory preserving SU(3) x U(1)_R is also discussed.

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arXiv2009

Meta-Stable Brane Configurations with Multiple NS5-Branes

Starting from an N=1 supersymmetric electric gauge theory with the multiple product gauge group and the bifundamentals, we apply Seiberg dual to each gauge group, obtain the N=1 supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets. Then we describe the intersecting brane configurations, where there are NS-branes and D4-branes(and anti D4-branes), of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We also discuss the case where the orientifold 4-planes are added into the above brane configuration. Next, by adding an orientifold 6-plane, we apply to an N=1 supersymmetric electric gauge theory with the multiple product gauge group(where a single symplectic or orthogonal gauge group is present) and the bifundamentals. Finally, we describe the other cases where the orientifold 6-plane intersects with NS-brane.

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arXiv2009

Meta-Stable Brane Configurations of Triple Product Gauge Groups

From an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c) x SU(N_c') x SU(N_c'') with fundamentals for each gauge group and the bifundamentals, we apply Seiberg dual to each gauge group and obtain the N=1 supersymmetric dual magnetic gauge theories with dual matters including the additional gauge singlets. By analyzing the F-term equations of the dual magnetic superpotentials, we describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We apply also to the case for N=1 supersymmetric electric gauge theory with the gauge group Sp(N_c) x SO(2N_c') x Sp(N_c'') with flavors for each gauge group and the bifundamentals. Finally, we describe the meta-stable brane configurations of multiple product gauge groups.

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arXiv2009

Meta-Stable Brane Configurations, Multiple NS5-Branes, and Rotated D6-Branes

We construct the type IIA nonsupersymmetric meta-stable brane configurations corresponding to the various N=1 supersymmetric gauge theories. The D6-branes are both displaced and rotated where these deformations are described as the mass term and quartic term for the fundamental flavors respectively. The multiplicity of the NS5-branes occurs in the superpotential order for adjoint, symmetric, or bifundamental matters. A rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable states is found.

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arXiv2009

Meta-Stable Brane Configurations of Multiple Product Gauge Groups with Orientifold 6 Plane

Starting from an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c) x SU(N_c') x SU(N_c'') with fundamentals for each gauge group, the bifundamentals, a symmetric flavor and a conjugate symmetric flavor for SU(N_c), we apply Seiberg dual to each gauge group, obtain the N=1 supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets, and describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We also discuss the case where a symmetric flavor is replaced by an antisymmetric flavor. Next we apply to the case for N=1 supersymmetric electric gauge theory with the gauge group SO(N_c) x SU(N_c') x SU(N_c'') with flavors for each gauge group and the bifundamentals. Finally, we describe the case where the orientifold 6-plane charge is reversed.

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arXiv2009

Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory

Four-dimensional field equations are determined for perturbations of the quotient seven-sphere size and squashing parameter in eleven-dimensional supergravity. The quotient seven-sphere is a S^1-bundle over the CP^3 which is regarded as a S^2-fibration over the base S^4. By analyzing the AdS_4 supergravity scalar potential, the holographic supersymmetric(or nonsupersymmetric) renormalization group(RG) flow from N=1(or N=0) SO(5) x U(1)-invariant UV fixed point to N=6(or N=0) SU(4)_R x U(1)-invariant IR fixed point is obtained. The three-dimensional boundary theories are described by superconformal Chern-Simons matter theories and a dual operator corresponding to this RG flow is described.

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arXiv2009

Meta-Stable Brane Configurations by Higher Order Polynomial Superpotential

We construct the type IIA nonsupersymmetric meta-stable brane configuration consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory superpotential has an order (2k+2) polynomial for the bifundamentals. We find a rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable ones. By adding the orientifold 4-plane to this brane configuration, we also describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theory.

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arXiv2009

Meta-Stable Brane Configurations by Quartic Superpotential for Bifundamentals

The type IIA nonsupersymmetric meta-stable brane configuration consisting of three NS5-branes, D4-branes and anti-D4-branes where the electric gauge theory superpotential has a quartic term for the bifundamentals besides a mass term is constructed. By adding the orientifold 4-plane and 6-plane to this brane configuration, we also describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theories.

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arXiv2009

Meta-Stable Brane Configurations with Five NS5-Branes

From an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c) x SU(N_c') with fundamentals for each gauge group, the bifundamentals and a symmetric flavor and a conjugate symmetric flavor for SU(N_c), we apply Seiberg dual to each gauge group independently and obtain two N=1 supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets. By analyzing the F-term equations of the dual magnetic superpotentials, we describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of these gauge theories. The case where the above symmetric flavor is replaced by an antisymmetric flavor is also discussed.

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arXiv2009

Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass terms. We construct the geometric superpotential, from an eleven dimensional M-theory lift, which provides M2-brane probe analysis for the infrared ends of various supersymmetric or nonsupersymmetric flows.

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arXiv2008

Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory

We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP^2. By reexaming the AdS_4 supergravity scalar potential, the holographic renormalization group flow from N=(0,1) SU(3) x SU(2)-invariant UV fixed point to N=(3,0) SU(3) x SU(2)-invariant IR fixed point is reinterpreted. A dual operator in three-dimensional superconformal Chern-Simons matter theories corresponding to this RG flow is described.

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arXiv2008

Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term for one of the four adjoint chiral superfields as its dual theory. A further detailed correspondence between fields of AdS_4 supergravity and composite operators of the infrared field theory is obtained.

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arXiv2008

Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory

As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level k=1 or 2, that has G_2 symmetry, by adding a mass term for one of the eight adjoint superfields. We obtain a detailed correspondence between the fields of AdS_4 supergravity and composite operators of the infrared field theory in three dimensions. The geometric superpotential from an eleven dimensional viewpoint is obtained for M2-brane probe analysis.

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arXiv2008

Other Meta-Stable Brane Configuration by Adding an Orientifold 6-Plane to Giveon-Kutasov

Giveon and Kutasov have found the type IIA intersecting nonsupersymmetric meta-stable brane configuration where the electric gauge theory superpotential has a quartic term as well as the mass term for quarks. In this paper, by adding the orientifold 6-plane to this brane configuration, we describe the brane configuration corresponding to the meta-stable nonsupersymmetric vacua of the supersymmetric unitary gauge theory with symmetric flavor as well as fundamental flavors.

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arXiv2008

More on Meta-Stable Brane Configuration by Quartic Superpotential for Fundamentals

For the case where the gauge theory superpotential has a quartic term as well as the mass term for quarks, the nonsupersymmetric meta-stable brane configuration was found recently. By adding the orientifold 6-planes and the extra fundamental flavors to this brane configuration, we describe the meta-stable nonsupersymmetric vacua of the gauge theory with antisymmetric flavor as well as fundamental flavors in type IIA string theory.

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