$\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions

Abstract

Warped AdS${}_3$ solutions in 10 dimensional supergravity that preserve $\mathcal{N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS${}_3$ factor experiencing an enhancement to AdS${}_4$, are presented. The internal space of such solutions decomposes as a foliation of M${}_6$ over an interval where M${}_6$ supports either an SU(3)- or SU(2)-structure. The former case is classified in terms of torsion classes and new solutions are found

49 pages, 4 figures. v2: references, typos, new appendix on general N=(1,0) conditions, correction to sufficient N=(1,1) conditions when spinor norms are non equal

References in corpus (12)

• AdS spacetimes from wrapped M5 branes
• New string vacua from twistor spaces
• F-theory and AdS_3/CFT_2
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• AdS spacetimes from wrapped D3-branes
• Holographic description of SCFT${}_5$ compactifications
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$

Cited by in corpus (6)

• Scale-separated AdS${}_3$ vacua from $G_2$-orientifolds using bispinors
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• The conformal brane-scan: an update
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries