Marginal deformations of a class of AdS$_3$ $\mathcal{N}=(0,4)$ holographic backgrounds

TL;DR

This paper explores marginal deformations of warped AdS3 x S2 solutions in supergravity that preserve small N=(0,4) supersymmetry, leading to a family of new backgrounds with invariant holographic central charge.

Contribution

It introduces a new class of solutions obtained via marginal deformations of existing AdS3 backgrounds, characterizing their properties and supersymmetry preservation.

Findings

New solutions with preserved supersymmetry are constructed.

Holographic central charge remains invariant under deformation.

Internal space supports a dynamical identity structure.

Abstract

We discuss marginal deformations of warped AdS$_3\times$S$^2$ 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 an identity structure on the internal five-dimensional space, which is dynamical.