## Abstract

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.

Original language | English |
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Article number | 17 |

Journal | Journal of High Energy Physics |

Volume | 2020 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2020 |

## Keywords

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

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