Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) gauged N = 8 $$ \mathcal{N}=8 $$ supergravity

2017

We holographically study supersymmetric deformations of N = 3 and N = 1 superconformal field theories in three dimensions using four-dimensional N = 4 gauged supergravity coupled to three-vector multiplets with non-semisimple SO(3) (T 3 ,T 3 ) gauge group. This gauged supergravity can be obtained from a truncation of 11-dimensional supergravity on a tri-Sasakian manifold and admits both N = 1, 3 supersymmetric and stable nonsupersymmetric Ad S 4 critical points. We analyze the BPS equations for SO(3) singlet scalars in detail and study possible supersymmetric solutions. A number of RG flows to nonconformal field theories and half-supersymmetric domain walls are found, and many of them can be given analytically. Apart from these "flat" domain walls, we also consider Ad S 3 -sliced domain wall solutions describing twodimensional conformal defects with N = (1, 0) supersymmetry within the dual N = 1 field theory while this type of solutions does not exist in the N = 3 case.

Section: Introductionmentioning

confidence: 99%

Supersymmetric deformations of 3D SCFTs from tri-Sasakian truncation

2017

“…In this case, we need to use a numerical analysis due to the complexity of the full set of BPS equations given in the Appendix. Similar to the analysis of [9], there could be many possible IR singularities due to the competition between various deformations both by operators and vacuum expectation values (vev) present in the UV N = 4 SCFT. Some examples of these solutions are given in Fig.…”

Section: N = 1 Rg Flows By Relevant Marginal and Irrelevant Deformatmentioning

confidence: 99%

“…Most of the previously studied holographic RG flows have been found within the maximal N = 8 gauged supergravities [2][3][4][5][6][7][8][9]. Many of these solutions describe various deformations of the N = 8 SCFTs arising from M2-brane world-volume proposed in [10,11].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric RG flows and Janus from type II orbifold compactification

Upathambhakul

2017

We study holographic RG flow solutions within four-dimensional N = 4 gauged supergravity obtained from type IIA and IIB string theories compactified on T 6 /Z 2 × Z 2 orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has I SO(3)× I SO(3) gauge group and admits an N = 4 AdS 4 vacuum dual to an N = 4 superconformal field theory (SCFT) in three dimensions. We study various supersymmetric RG flows from this N = 4 SCFT to N = 4 and N = 1 non-conformal field theories in the IR. The flows preserving N = 4 supersymmetry are driven by relevant operators of dimensions = 1, 2 or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions = 4 while the N = 1 flows in addition involve marginal deformations. Most of the flows can be obtained analytically. We also give examples of supersymmetric Janus solutions preserving N = 4 and N = 1 supersymmetries. These solutions should describe two-dimensional conformal defects within the dual N = 4 SCFT. Geometric compactifications of type IIA theory give rise to N = 4 gauged supergravity with I SO(3) U (1) 6 gauge group. In this case, the resulting gauged supergravity admits an N = 1 AdS 4 vacuum. We also numerically study possible N = 1 RG flows to non-conformal field theories in this case.

“…It is a theory of interacting three hypermultiplets transforming in a triplet of the SU (3) flavor symmetry, and each hypermultiplet transforms as a bifundamental under the SU (N ) × SU (N ) gauge group and as a doublet of the SU (2) R ∼ SO(3) R Rsymmetry. There are also a number of previous works giving holographic studies of this theory both in 11-dimensional context and in the effective N = 3 and N = 4 gauged supergravities [19,[27][28][29][30][31]. Solutions given in these works are holographic RG flows, Janus solutions and supersymmetric AdS 2 × 2 solutions with magnetic charges.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric AdS $$_2\times \Sigma _2$$ 2 × Σ 2 solutions from tri-sasakian trunc

2017

A class of AdS 2 × 2 , with 2 being a two-sphere or a hyperbolic space, solutions within four-dimensional N = 4 gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified. The gauged supergravity has a non-semisimple SO(3) (T 3 ,T 3 ) gauge group and can be obtained from a consistent truncation of 11-dimensional supergravity on a tri-sasakian manifold. The maximally symmetric vacua contain AdS 4 geometries with N = 1, 3 supersymmetry corresponding to N = 1 and N = 3 superconformal field theories (SCFTs) in three dimensions. We find supersymmetric solutions of the form AdS 2 × 2 preserving two supercharges. These solutions describe twisted compactifications of the dual N = 1 and N = 3 SCFTs and should arise as near horizon geometries of dyonic black holes in asymptotically AdS 4 space-time. Most solutions have hyperbolic horizons although some of them exhibit spherical horizons. These provide a new class of AdS 2 × 2 geometries with known M-theory origin.