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

Parinya Karndumri; Patharadanai Nuchino

doi:10.1103/PhysRevD.105.066010

paper

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

arXiv:2201.05037 · doi:10.1103/PhysRevD.105.066010

Abstract

We study supersymmetric $A d S_{5} \times Σ$ solutions, for $Σ$ 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, $S O (4 - p, p)$ , for $p = 0, 1, 2$ , and find a number of $A d S_{5} \times Σ$ solutions with $S O (2) \times S O (2)$ and $S O (2)_{diag}$ residual symmetry from $S O (4)$ and $S O (2, 2)$ gauge groups. We also find an $S O (2)_{R} \subset S O (3)_{R} \sim S U (2)_{R}$ symmetric solution which can be regarded as a solution of pure $N = 2$ gauged supergravity with $S O (3)_{R}$ 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.

arXiv comment54 pages, 19 figures, typos corrected, references added, some details moved to an appendix

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

Abstract

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