The BPS limit of rotating AdS black hole thermodynamics

• Published in: The journal of high energy physics Vol. 2019; no. 9; pp. 1 - 48
• Main Authors: Cassani, Davide, Papini, Lorenzo
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black holes; Black Holes in String Theory; Charging; Classical and Quantum Gravitation; Elementary Particles; High energy physics; Organic chemistry; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Rotation; String Theory; Supergravity; Supergravity Models; Supersymmetry; Black Holes in String Theory; Supergravity Models; AdS-CFT Correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2019)079

A bstract We consider rotating, electrically charged, supersymmetric AdS black holes in four, five, six and seven dimensions, and provide a derivation of the respective extremization principles stating that the Bekenstein-Hawking entropy is the Legendre transform of a homogeneous function of chemical potentials, subject to a complex constraint. Extending a recently proposed BPS limit, we start from finite temperature and reach extremality following a supersymmetric trajectory in the space of complexified solutions. We show that the entropy function is the supergravity on-shell action in this limit. Chemical potentials satisfying the extremization equations also emerge from the complexified solution.