M2-branes wrapped on a topological disk

TL;DR

This paper constructs and analyzes supersymmetric $AdS_2$ solutions from M2-branes wrapped on a topological disk within Calabi-Yau manifolds, revealing finite entropy solutions in four-fold cases.

Contribution

It extends the method used for M5-branes to M2-branes, providing new supersymmetric solutions in supergravity and exploring their entropy properties.

Findings

Finite Bekenstein-Hawking entropy for solutions in Calabi-Yau four-folds.

No finite entropy solutions found in Calabi-Yau two- and three-folds.

Solutions are uplifted to eleven-dimensional supergravity.

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 $AdS_2$ 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.