Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization

• Main Authors: Jun Nian, Leopolda A. Pando Zayas
• Format: Article
• Language: English
• Published: SpringerOpen 2020-03-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Black Holes in String Theory; Gauge-gravity correspondence; Supersymmetric Gauge Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP03(2020)081

Abstract We employ supersymmetric localization to determine the exact partition function of 3d N $$ \mathcal{N} $$ = 2 gauge theories on a background given by a round S 2 fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configurations, and the partition function reduces to a matrix model. We consider the partition function of the ABJM theory on this background as an explicit case. We verify that the large-N limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS4 supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy.