AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry

Abstract

We consider warped AdS${}_3\times$S${}^2\times$M${}_5$ backgrounds in type II supergravity preserving small $\mathcal{N}=(4,0)$ supersymmetry. We show that imposing $\mathcal{N}=(4,0)$ supersymmetry imposes between 0 and 3 a priori isometries in the internal M${}_5$. In this work we focus on classes of solution where M${}_5$ exhibits no a prioi isometry which imposes additional constraints. Solving these in IIA forces M${}_5$ to support an SU(2)-structure, a case already studied in arXiv:1908.09851, while in IIB one arrives at two broad new classes with identity structure that we reduce to local expressions for the physical fields and PDEs.

29 pages + appendices v2: Typos corrected, references added, published version

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Cited by in corpus (6)

• On Type IIA AdS${}_3$ solutions and massive GK geometries
• AdS${}_2$ near-horizons, defects and string dualities
• On generalised D1-D5 near horizons and their spectra
• New ${\text{AdS}}_2/{\text{CFT}}_1$ pairs from ${\text{AdS}}_3$ and monopole bubbling
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries