M2-branes on discs and multi-charged spindles

• Published in: The journal of high energy physics Vol. 2022; no. 4; pp. 107 - 30
• Main Authors: Couzens, Christopher, Stemerdink, Koen, van de Heisteeg, Damian
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 19.04.2022; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black holes; Black Holes in String Theory; Branes; Classical and Quantum Gravitation; Elementary Particles; Flavors; High energy physics; Horizon; M-Theory; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Riemann surfaces; Spindles; String Theory; Supergravity; Topology; Black Holes in String Theory; AdS-CFT Correspondence; M-Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP04(2022)107

A bstract We study supersymmetric AdS 2 × 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.