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Paper   IPM / Physic / 15547
School of Physics
  Title:   Cardy-like asymptotics of the 4d N=4 index and AdS_5 blackholes
  Author(s):  A. Arabi Ardehali
  Status:   Published
  Journal: JHEP
  Vol.:  2019
  Year:  2019
  Pages:   134
  Supported by:  IPM
Choi, Kim, Kim, and Nahmgoong have recently pioneered analyzing a Cardy-like limit of the superconformal index of the 4d 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.

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