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arXiv · 2110.00571

M2-branes on Discs and Multi-Charged Spindles

Christopher Couzens·Koen Stemerdink·Damian van de Heisteeg
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Abstract

We study supersymmetric AdS$_2\times Y_9$ solutions of 11d supergravity where $Y_9$ is an $S^7$ fibration over a Riemann surface equipped with a metric of non-constant curvature. We consider two classes of Riemann surface: the first is a spindle and the second is a topological disc. These solutions are interpreted as the near-horizon limit of M2 branes wrapped on the Riemann surface and describe the near-horizon of a 4d black hole. In the case of the topological disc there are additional flavour M2 branes smeared on a five-sphere embedded in the transverse $S^7$. We perform a full global analysis of both classes of solutions, both from a 4d and an 11d viewpoint. Finally we compute the two-dimensional Newton's constant from which we obtain a prediction for the entropy of the black hole.

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Christopher Couzens, Koen Stemerdink, Damian van de Heisteeg. 2021-10-01. M2-branes on Discs and Multi-Charged Spindles. https://doi.org/10.1007/jhep04(2022)107

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