Five-branes wrapped on topological disks from 7D N=2 gauged supergravity

Abstract

We study supersymmetric $Ad{S}_5\times \Sigma$ solutions, for $\Sigma$ being a topological disk with non-trivial $U(1)$ holonomy at the boundary or "half-spindle", in seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets. We consider compact and non-compact gauge groups, $SO(4-p,p)$, for $p=0,1,2$, and find a number of $Ad{S}_5\times \Sigma$ solutions with $SO(2)\times SO(2)$ and $SO(2{)}_{\text{diag}}$ residual symmetry from $SO(4)$ and $SO(2,2)$ gauge groups. We also find an $SO(2{)}_R\subset SO(3{)}_R\sim SU(2{)}_R$ symmetric solution which can be regarded as a solution of pure $N=2$ gauged supergravity with $SO(3{)}_R$ gauge group and all the fields from vector multiplets vanishing. The solutions preserve $\frac{1}{2}$ of the original $N=2$ supersymmetry and could be interpreted as supergravity duals of $N=1$ superconformal field theories in four dimensions. In particular, some of these solutions can be embedded in ten or eleven dimensions in which a description in terms of five-branes wrapped on a topological disk can be given.

54 pages, 19 figures, typos corrected, references added, some details moved to an appendix

References in corpus (13)

• Four-Dimensional SCFTs from M5-Branes
• Precision holography for non-conformal branes
• Duality orbits of non-geometric fluxes
• D3-branes wrapped on a spindle
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Universal RG Flows Across Dimensions and Holography
• Supersymmetric spindles
• D4-branes wrapped on a spindle
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions
• Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation
• Noncompact gauging of N=2 7D supergravity and AdS/CFT holography