Marginal deformations of a class of \( \mathrm{AdS}_3 \) \( \mathcal{N} = (0, 4)\) holographic backgrounds. (English) Zbl 1466.83139
Summary: We discuss marginal deformations of warped \( \mathrm{AdS}_3 \times S^2\) 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 a dynamical SU(2) structure on the internal five-dimensional space.
MSC:
| 83E50 | Supergravity |
| 83E05 | Geometrodynamics and the holographic principle |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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