Marginal deformations of a class of AdS3 mathcal{N} = (0, 4) holographic backgrounds

Salomon Zacarías

doi:10.1007/jhep06(2021)017

Abstract

We discuss marginal deformations of warped AdS3×S2 solutions preserving small mathcal{N} = (0, 4) supersymmetry in massive IIA and eleven-dimensional supergravity and obtain a whole family of new solutions. We characterise these new backgrounds by studying some observables like the quantised charges, associated Hannany-Witten brane set-ups and the holographic central charge, the latter is shown to be invariant under the deformation. The study of the preservation of supersymmetry shows that the new backgrounds support a dynamical SU(2) structure on the internal five-dimensional space.

Highlights

Which one extracts geometric constraints for the fields of the solutions according to the number ofsymmetries and geometrical structures, etc, we impose in the internal space
We discuss marginal deformations of warped AdS3×S2 solutions preserving small N = (0, 4) supersymmetry in massive IIA and eleven-dimensional supergravity and obtain a whole family of new solutions. We characterise these new backgrounds by studying some observables like the quantised charges, associated Hannany-Witten brane set-ups and the holographic central charge, the latter is shown to be invariant under the deformation
In this paper we have presented new solutions in massive IIA and eleven-dimensional supergravity obtained via TsT transformations and the analog in eleven dimensions

Summary

The marginally deformed backgrounds

We will construct a family of solutions corresponding to deformations of the supergravity solutions in eqs. (2.1)–(2.2). We will construct a family of solutions corresponding to deformations of the supergravity solutions in eqs. For the solution in eq (2.1) there are two options which will produce inequivalent solutions They correspond to U(1)φ× U(1)xi and U(1)xi× U(1)xj invariant sub-sectors, where φ is the azimuthal angle inside the S2 and xi the coordinates on T4. The background in eq (3.1) is a solution of massive IIA supergravity if conditions in eq (2.4) are imposed. We notice the original solution is recovered after turning off the deformation parameter, as expected. ∧dvolS2 , which is a solution of massive IIA supergravity if conditions in eq (2.4) are imposed.

Quantised charges and brane set-ups

The deformation in eleven dimensions

Holographic central charge

Comments on supersymmetry and G-structure of the solutions

Conclusions

A Supersymmetry conventions