AdS7 black-hole entropy and 5D N = 2 Yang-Mills

• Published in: The journal of high energy physics Vol. 2020; no. 1; p. 17
• Main Authors: Kántor, G., Papageorgakis, C., Richmond, P.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020; Springer Nature B.V
• Subjects: Black holes; Constraints; Energy; Entropy; Entropy of solution; Equivalence; Gauge theory; High energy physics; Localization; Organic chemistry; Partitions (mathematics); Regular Article - Theoretical Physics; Spacetime; Supergravity; Black Holes in String Theory; AdS-CFT Correspondence; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2020)017

A bstract We generalise the work of 1810.11442 for the case of AdS 7 /CFT 5 . Starting from the 2-equivalent charge, 3-equivalent rotation non-extremal black-hole solution in 7D gauged supergravity, we consider the supersymmetric and then the extremal limit and evaluate the associated thermodynamic quantities. Away from extremality, the black-hole solution becomes complex. The entropy is then given by the Legendre transform of the on-shell action with respect to two complex chemical potentials subject to a constraint. At the conformal boundary we derive the dual background and evaluate the corresponding partition function for the A N– 1 6D (2,0) theory at large N in a Cardy-like limit. This is carried out via a 5D N = 2 super Yang-Mills calculation on S 5 . The gravitational on-shell action is found to be exactly reproduced by the boundary partition function at large N. We argue that this agreement puts strong constraints on the form of possible higher-derivative corrections to the 5D gauge theory that is used in the S 5 evaluation.