Gravity duals of $ \mathcal{N} $ = 2 superconformal field theories with no electrostatic description

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.

Section: Jhep08(2015)121supporting

confidence: 75%

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

Lozano

Macpherson

Montero

et al. 2015

“…Recently, using this approach, several new formulas computing field theory observables in terms of geometric data were presented in [6]. Generic solutions for this class of geometries and some particular interesting examples were studied in [5,7,8,9]. Finding new examples belonging to this class of geometries however is challenging and solution generating techniques like non-Abelian T-duality have proven to be very useful to construct new examples [10].…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Spin-2 excitations in Gaiotto-Maldacena solutions

Ίτσιος

Penín

Zacarías

2019

In this paper we study spin-2 excitations for a class of N = 2 supersymmetric solutions of type-IIA supergravity found by Gaiotto and Maldacena. The mass spectrum of these excitations can be derived by solving a second order partial differential equation. As specific examples of this class we consider the Abelian and non-Abelian T-dual versions of the AdS 5 × S 5 and we study the corresponding mass spectra. For the modes that do not "feel" the (non-)Abelian T-duality transformation we provide analytic formulas for the masses, while for the rest we were only able to derive the spectra numerically. The numerical values that correspond to large masses are compared with WKB approximate formulas. We also find a lower bound for the masses. Finally, we study the field theoretical implications of our results and propose dual spin-2 operators. a

“…As above, this computation supports our proposal of section 3. It should be interesting to extend this sort of calculations to geometries that do not admit an electrostatic description [87,88].…”

Section: Jhep11(2015)212mentioning

confidence: 99%

Holographic flows in non-Abelian T-dual geometries

Macpherson

Núñez

Thompson

et al. 2015

Abstract:We use non-Abelian T-duality to construct new N = 1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS 5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way we give an elegant formulation of non-Abelian Tduality when acting on a wide class of backgrounds, including those corresponding to such flows, in terms of their SU(2) structure.