D4-branes wrapped on a topological disk

Abstract

Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study D4-branes wrapped on a disk with a non-trivial holonomy at the boundary. In $F(4)$ gauged supergravity in six dimensions, we find supersymmetric $Ad{S}_4$ solutions and uplift the solutions to massive type IIA supergravity. We calculate the holographic free energy of dual three-dimensional superconformal field theories.

v2: 23 pages, 2 figures, analytic expression of holographic free energy included, published version. arXiv admin note: text overlap with arXiv:2108.01105