A class of supersymmetric RG flows from five-dimensional supergravity

Khavaev, Alexei; Warner, Nicholas P.

doi:10.1016/s0370-2693(00)01228-4

Cited by 45 publications

(105 citation statements)

References 15 publications

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“…Instead, we will give the behavior near the IR singularity which can be put to r = 0 by choosing appropriate constants of integration. This is similar to the analysis given in [34]. Note also that, from the above equations, setting Φ 5 = 0 and Φ 7 = 0 is also a consistent truncation.…”

Section: Flows To Non-conformal Field Theoriessupporting

confidence: 82%

Holographic renormalization group flows inN=3Chern-Simons-Matter theory fromN=34D gauged supergravity

Karndumri

2016

Phys. Rev. D

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We study various supersymmetric RG flows of N = 3 Chern-Simons-Matter theory in three dimensions by using four-dimensional N = 3 gauged supergravity coupled to eight vector multiplets with SO(3) × SU (3) gauge group. The AdS 4 critical point preserving the full SO(3) × SU (3) provides a gravity dual of N = 3 superconformal field theory with flavor symmetry SU (3). We study the scalar potential and identify a new supersymmetric AdS 4 critical point preserving the full N = 3 supersymmetry and unbroken SO(3) × U (1) symmetry. An analytic RG flow solution interpolating between SO(3) × SU (3) and SO(3) × U (1) critical points is explicitly given. We then investigate possible RG flows from these AdS 4 critical points to non-conformal field theories in the IR. All of the singularities appearing in the IR turn out to be physically acceptable. Furthermore, we look for supersymmetric solutions of the form AdS 2 × Σ 2 with Σ 2 being a two-sphere or a twodimensional hyperbolic space and find a number of AdS 2 geometries preserving four supercharges with SO(2) × SO(2) × SO(2) and SO(2) × SO(2) symmetries.

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Section: Flows To Non-conformal Field Theoriessupporting

confidence: 82%

Holographic renormalization group flows inN=3Chern-Simons-Matter theory fromN=34D gauged supergravity

Karndumri

2016

Phys. Rev. D

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“…Soon after the original proposal of the correspondence, many works considering RG flows in five dimensional gauged supergravity have been done, see for example [2], [3] and [4]. These results describe various perturbations of N = 4 SYM in four dimensions.…”

Section: Introductionmentioning

confidence: 99%

Holographic RG flows in six dimensional F(4) gauged supergravity

Karndumri

2013

J. High Energ. Phys.

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Abstract:We study critical points of F (4) gauged supergravity in six dimensions coupled to three vector multiplets. Scalar fields are described by R + × SO(4,3) SO(4)×SO (3) coset space, and the gauge group is given by SO(3) R × SO(3) with SO(3) R being the R-symmetry. The maximally supersymmetric critical point with all scalars vanishing preserves the full SO(3) R × SO(3) symmetry. This is dual to a superconformal field theories (SCFT 5 ) arising from a near horizon geometry of the D4-D8 brane system in type I ′ theory with an enhanced global symmetry E 1 ∼ SU(2). Apart from this trivial critical point, we identify a new supersymmetric critical point preserving the full supersymmetry with the SO(3) R × SO(3) symmetry broken to its diagonal subgroup. This critical point should correspond to a new SCFT in five dimensions. We study an RG flow solution interpolating between the SCFT with E 1 symmetry and the new supersymmetric critical point. The flow describes a supersymmetric deformation driven by a vacuum expectation value of relevant operators of dimension 3. We identify the dual operators with the mass terms for hypermultiplet scalars in the dual field theory. The solution provides an example of analytic supersymmetric RG flows in AdS 6 /CFT 5 correspondence.

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“…The model resulting from this is a generalization of the GPPZ model [7] to the case of three unequal masses. It was studied before in [61] (see also [62]) and provides a useful limit for determining the finite counterterms in holographic renormalization. In particular, it plays a big role in the determination of the finite counterterm in (4.26) using the Bogomolnyi trick.…”

Section: Further Truncations Of the 10-scalar Modelmentioning

confidence: 99%

Holography for N $$ \mathcal{N} $$ = 1∗ on S 4

Bobev

Elvang

Kol

et al. 2016

J. High Energ. Phys.

190

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Abstract:We construct the five-dimensional supergravity dual of the N = 1 * mass deformation of the N = 4 supersymmetric Yang-Mills theory on S 4 and use it to calculate the universal contribution to the corresponding S 4 free energy at large 't Hooft coupling in the planar limit. The holographic RG flow solutions are smooth and preserve four supercharges. As a novel feature compared to the holographic duals of N = 1 * on R 4 , in our backgrounds the five-dimensional dilaton has a non-trivial profile, and the gaugino condensate is fixed in terms of the mass-deformation parameters. Important aspects of the analysis involve characterizing the ambiguities in the partition function of non-conformal N = 1 supersymmetric theories on S 4 as well as the action of S-duality on the N = 1 * theory.

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A class of supersymmetric RG flows from five-dimensional supergravity

Cited by 45 publications

References 15 publications

Holographic renormalization group flows inN=3Chern-Simons-Matter theory fromN=34D gauged supergravity

Holographic renormalization group flows inN=3Chern-Simons-Matter theory fromN=34D gauged supergravity

Holographic RG flows in six dimensional F(4) gauged supergravity

Holography for N $$ \mathcal{N} $$ = 1∗ on S 4

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