M2-branes wrapped on a topological disk

Abstract

Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study M2-branes on a disk with non-trivial holonomies at the boundary. In four-dimensional $U(1{)}^4$-gauged $\mathcal{N}=2$ supergravity, we find supersymmetric $Ad{S}_2$ solutions from M2-branes wrapped on a topological disk in Calabi-Yau two-, three- and four-folds. We uplift the solutions to eleven-dimensional supergravity. For the solutions from topological disk in Calabi-Yau four-folds, the Bekenstein-Hawking entropy is finite and well-defined. On the other hand, from the topological disk in Calabi-Yau two- and three-folds, we could not find solutions with finite Bekenstein-Hawking entropy.

v3: 28 pages, 4 figures, published version with published addendum. arXiv admin note: substantial text overlap with arXiv:2108.01105

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Cited by in corpus (2)

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