Large superconformal near-horizons from M-theory

216

We construct supersymmetric AdS 3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N = (0, 4) superconformal field theories with small superconformal algebra. In F-theory these arise from D3-branes wrapped on curves in the base of an elliptically fibered Calabi-Yau threefold Y 3 and correspond to self-dual strings in the 6d N = (1, 0) theory obtained from F-theory on Y 3 . The non-trivial fibration over the wrapped curves implies a varying coupling of the N = 4 Super-Yang-Mills theory on the D3-branes. We compute the holographic central charges and show that these agree with the field theory and with the anomalies of self-dual strings in 6d. We complement our analysis with a discussion of the dual M-theory solutions and a comparison of the central charges.

Section: Jhep08(2017)043mentioning

confidence: 99%

F-theory and AdS3/CFT2

Couzens

Lawrie

Martelli

et al. 2017

216

“…5 For SU(2)-structure manifolds, we note that the non-Abelian T-dual of AdS 3 × S 3 × CY 2 fits neatly into the classification of [2]. In contrast, the non-Abelian T-dual of AdS 3 × S 3 × S 3 × S 1 preserves the same supersymmetry, N = (0, 4) in 2D, yet falls outside this class, thus motivating future work to extract the more general class [24].…”

Section: Jhep08(2015)121mentioning

confidence: 99%

“…One can then use the supersymmetry conditions to find further explicit solutions, some of which may be, in contrast to nonAbelian T-duals, compact. We hope to report on this in future work [24].…”

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

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.

“…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

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.