Abstract
Abstract
Choi, Kim, Kim, and Nahmgoong have recently pioneered analyzing a Cardy-like limit of the superconformal index of the 4d
$$ \mathcal{N}=4 $$
N
=
4
theory with complexified fugacities which encodes the entropy of the dual supersymmetric AdS5 blackholes. Here we study the Cardy-like asymptotics of the index within the rigorous framework of elliptic hypergeometric integrals, thereby filling a gap in their derivation of the blackhole entropy function, finding a new blackhole saddle-point, and demonstrating novel bifurcation phenomena in the asymptotics of the index as a function of fugacity phases. We also comment on the relevance of the supersymmetric Casimir energy to the blackhole entropy function in the present context.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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