Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation

Abstract

A class of $Ad{S}_2\times {\Sigma }_2$, with ${\Sigma }_2$ being a two-sphere or a hyperbolic space, solutions within four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified. The gauged supergravity has non-semisimple $SO(3)⋉({\mathbf{T}}^3,{\hat{\mathbf{T}}}^3)$ gauge group and can be obtained from a consistent truncation of eleven-dimensional supergravity on a tri-sasakian manifold. The maximally symmetric vacua contain $Ad{S}_4$ geometries with $N=1,3$ supersymmetry corresponding to $N=1$ and $N=3$ superconformal field theories (SCFTs) in three dimensions. We find supersymmetric solutions of the form $Ad{S}_2\times {\Sigma }_2$ preserving two supercharges. These solutions describe twisted compactifications of the dual $N=1$ and $N=3$ SCFTs and should arise as near horizon geometries of dyonic black holes in asymptotically $Ad{S}_4$ space-time. Most solutions have hyperbolic horizons although some of them exhibit spherical horizons. These provide a new class of $Ad{S}_2\times {\Sigma }_2$ geometries with known M-theory origin.

31 pages, no figure, typos corrected, misleading words changed

References in corpus (6)

• Gauged N=4 supergravities
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Brane Tilings and M2 Branes
• BPS Black Holes
• Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation
• Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory

Cited by in corpus (6)

• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Supersymmetric solutions from N=5 gauged supergravity
• Supersymmetric solutions from N=6 gauged supergravity
• Twisted compactifications of 6D field theories from maximal 7D gauged supergravity
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• Wrapped D4-branes from maximal 6D gauged supergravity