The 5d superconformal index at large \(N\) and black holes

DOI10.1007/JHEP09(2020)124zbMATH Open1454.83056arXiv2005.00550OpenAlexW3087506049MaRDI QIDQ1995146

Author name not available (Why is that?)

Publication date: 18 February 2021

Published in: (Search for Journal in Brave)

Abstract: We study the large

N

limit of the superconformal index of a large class of 5d

m a t h c a l N = 1

superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is valid in an "extended" regime in which fugacities are finite and

N

is large. For theories with weakly coupled gravity duals we conjecture this large

N

Cardy formula universally accounts for the microscopic entropy of spinning black holes in AdS

_{6}

. We check this explicitly for known black hole solutions in massive type IIA and type IIB string theory, carrying two angular momenta and one electric charge, and predict the entropy of black holes carrying multiple electric charges, yet to be constructed. We also discuss large

N

properties of the

S_{b}^{3} i m e s S i g m a_{m a t h f r a k g}

partition function, extending previous results to theories with type IIB duals.

Full work available at URL: https://arxiv.org/abs/2005.00550

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: The 5d superconformal index at large \(N\) and black holes

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1995146)