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

G. Kántor, C. Papageorgakis*, P. Richmond

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


We generalise the work of 1810.11442 for the case of AdS7/CFT5. 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 AN–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 S5. 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 S5 evaluation.

Original languageEnglish
Article number17
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 1 Jan 2020


  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Field Theories in Higher Dimensions
  • Supersymmetric Gauge Theory


Dive into the research topics of 'AdS7 black-hole entropy and 5D N = 2 Yang-Mills'. Together they form a unique fingerprint.

Cite this