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

Abstract

Abstract We discuss marginal deformations of warped AdS3×S2 solutions preserving small $$ \mathcal{N} $$ 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.