Non-Abelian T-duality, G 2-structure rotation and holographic duals of $ \mathcal{N} $ = 1 Chern-Simons theories

Acting with non-Abelian T-duality on the S 3 inside the AdS 5 subspace of AdS 5 × S 5 with N units of flux, we generate a new half-BPS solution with SU(2|4) symmetry that belongs to the Lin-Lunin-Maldacena class of geometries. The analysis of the asymptotics, quantised charges and probe branes in this geometry suggests an interpretation as the gravity dual to the Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum associated to a partition of N , in which the multiplicity of each SU(2) irreducible representation is equal to its dimension. This vacuum is interpreted in M-theory in terms of giant gravitons backreacting in the maximally supersymmetric pp-wave geometry. Consistently with this, we show that the non-Abelian T-dual solution exactly agrees with the Penrose limit of the superstar solution in AdS 7 × S 4 . This suggests an interesting global completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.

Section: Jhep09(2017)008mentioning

confidence: 99%

BMN vacua, superstars and non-abelian T-duality

Lozano

Núñez

Zacarías

2017

“…Finally, it was established in [26,32,37,72] that the bi-spinors defined on a ddimensional internal space transform asΨ ± = Ψ ∓ Ω, (6.18) at least up to conventionally dependent phases. 8 …”

Section: Jhep02(2015)040mentioning

confidence: 99%

Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities

Macpherson

Núñez

Zayas

et al. 2015

Self Cite

145

We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS 5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS 5 × X 5 IIB supergravity solutions with X 5 = S 5 , T 1,1 , Y p,q . We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.

“…Despite these open problems, recently we have witnessed a small resurgence in interest in non-Abelian T-duality, spurred on by the extension of non-Abelian T-duality to incorporate RR fields [20,21]. 2 Provided one is careful about the R symmetry, it is possible to generate supersymmetry preserving solutions of relevance in the context of gauge/gravity duality [1,23,24] as well as to study the implications for G-structures [25,26]. Reversing the logic we will see that it is also possible to extract some global information by analyzing the implications of the AdS/CFT correspondence on the newly generated background.…”

Section: Jhep05(2014)009mentioning

confidence: 99%

Hints of 5d fixed point theories from non-Abelian T-duality

Lozano

Colgáin

Rodrı́guez-Gómez

2014

139

In this paper we investigate the properties of the putative 5d fixed point theory that should be dual, through the holographic correspondence, to the new supersymmetric AdS 6 solution constructed in [1]. This solution is the result of a non-Abelian T-duality transformation on the known supersymmetric AdS 6 solution of massive Type IIA. The analysis of the charge quantization conditions seems to put constraints on the global properties of the background, which, combined with the information extracted from considering probe branes, suggests a 2-node quiver candidate for the dual CFT.