On AdS${}_3$ solutions of Type IIB

Abstract

We study $\mathcal{N}=1$ supersymmetric AdS${}_3\times M_7$ backgrounds of Type IIB supergravity, with non-vanishing axio-dilaton, three-form and five-form fluxes, and a "strict" $SU(3)$-structure on $M_7$. We derive the necessary and sufficient conditions for supersymmetry as a set of constraints on the torsion classes of the $SU(3)$-structure. Given an Ansatz for the three-form fluxes, the problem of also solving the equations of motion involves a "master equation", which generalizes ones that have previously appeared in the literature.

arXiv comment13 pages. v2: minor modifications and clarifications, v3: reference fixed v4: minor changes

References in corpus (15)

• The Exact Superconformal R-Symmetry Maximizes a
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Exact two-dimensional superconformal R-symmetry and c-extremization
• AdS(3) Solutions of IIB Supergravity from D3-branes
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• Two-dimensional SCFTs from D3-branes
• A geometric dual of $c$-extremization
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• F-theory and AdS_3/CFT_2 (2,0)
• AdS Solutions Through Transgression
• AdS${}_3$ solutions with exceptional supersymmetry
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Toric geometry and the dual of $c$-extremization
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Generalized Geometry in AdS/CFT and Volume Minimization

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• AdS${}_3$ from M-branes at conical singularities
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• $\mathcal{I}$/$c$-Extremization in M/F-Duality
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries