A N = 2 $$ \mathcal{N}=2 $$ supersymmetric AdS4 solution in M-theory with purely magnetic flux

We consider the backgrounds obtained by Abelian and non-Abelian T-duality applied on AdS 5 × S 5 . We study geodesics, calculate Penrose limits and find the associated plane-wave geometries. We quantise the weakly coupled type-IIA string theory on these backgrounds. We study the BMN sector, finding operators that wrap the original quiver CFT. For the non-Abelian plane wave, we find a 'flow' in the frequencies. We report some progress to understand this, in terms of deconstruction of a higher dimensional field theory. We explore a relation with the plane-wave limit of the Janus solution, which we also provide.

“…In order to study similarities and differences we suggest to study the backgrounds found in [17,25,31,34,[37][38][39]. These seem to be the natural candidates given their isometries.…”

Section: Jhep01(2018)071mentioning

confidence: 99%

Penrose limits of Abelian and non-Abelian T-duals of AdS5 × S5 and their field theory duals

Ίτσιος

Năstase

Núñez

et al. 2018

“…These works have widely applied non-Abelian T-duality to generate new AdS backgrounds of relevance in different contexts. While some of the new solutions avoid previously existing classifications [11,28,31,32], which has led to generalizations of existing families [38][39][40][41], some others provide the only known explicit solutions belonging to a given family [32,33], which can be used to test certain conjectures, such as 3d-3d duality [42,43]. Some of these works also put forward some ideas to define the associated holographic duals.…”

Section: Jhep09(2017)038mentioning

confidence: 99%

The AdS 5 non-Abelian T-dual of Klebanov-Witten as a N = 1 $$ \mathcal{N}=1 $$ linear quiver from M5-branes

Ίτσιος

Lozano

Montero

et al. 2017

Self Cite

In this paper we study an AdS 5 solution constructed using non-Abelian Tduality, acting on the Klebanov-Witten background. We show that this is dual to a linear quiver with two tails of gauge groups of increasing rank. The field theory dynamics arises from a D4-NS5-NS5' brane set-up, generalizing the constructions discussed by Bah and Bobev. These realize N = 1 quiver gauge theories built out of N = 1 and N = 2 vector multiplets flowing to interacting fixed points in the infrared. We compute the central charge using a-maximization, and show its precise agreement with the holographic calculation. Our result exhibits n 3 scaling with the number of five-branes. This suggests an eleven-dimensional interpretation in terms of M5-branes, a generic feature of various AdS backgrounds obtained via non-Abelian T-duality.

“…In this work we present some further examples. Interesting solutions generated this way 6 are the only explicit AdS 6 solution to Type IIB supergravity constructed in [37] 7 and the recent N = 2 AdS 4 solution to M-theory with purely magnetic flux constructed in [42], which provides the only such explicit solution besides the Pernici-Sezgin background derived in the eighties [43]. Both these solutions may play an important role as gravity duals of, respectively, 5d fixed point theories arising from Type IIB brane configurations, probably from 7-branes as in [44] (see [45]), and of 3d SCFTs arising from M5-branes wrapped on 3d manifolds in the context of the 3d-3d correspondence [46].…”

Section: Jhep08(2015)121mentioning

confidence: 99%

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Lozano

Macpherson

Montero

et al. 2015

Self Cite

It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 nearhorizon into a class of AdS 3 × S 2 geometries in 11D where the internal space is a CalabiYau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible SU(3)-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of AdS 3 ×S 2 geometries with SU(2)-structure. Furthermore, the non-Abelian T-dual of AdS 3 ×S 3 ×S 3 ×S 1 results in a new supersymmetric AdS 3 × S 2 geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large N = 4 superconformal algebra in the infra-red.