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

Abstract

We study supersymmetric AdS 5 × 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, SO(4 − p, p), for p = 0, 1, 2, and find a number of AdS 5 × Σ solutions with SO(2) × SO(2) and SO(2) diag residual symmetry from SO(4) and SO(2, 2) gauge groups. We also find an SO(2) R ⊂ SO(3) R ∼ 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 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.

M5-branes wrapped on a spindle

“…Some of the simplest examples of GK geometries where the metrics are explicitly known have been recently revisited and interpreted as describing a situation in which branes are wrapped on two-dimensional orbifolds known as spindles, originally found for D3 branes [14]. Ever since, solutions describing branes wrapping spindles have been found in a large variety of examples [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and generalized to other two- [33][34][35][36][37][38][39][40][41][42] and higher-dimensional [43][44][45][46][47][48][49] orbifolds.…”

A Panorama Of Physical Mathematics c. 2022

“…The latter methods have lead to the construction of holographic duals of Argyres-Douglas theories. For further developments see [1246][1247][1248][1249][1250].…”

M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

“…Brane solutions wrapped on a topological disk were then constructed from D3-branes, [19,20], M2-branes, [21,9], and D4-branes, [22]. See also [23] for more disk solutions and [24] for defect solutions from different completion of global solutions.…”