“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

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
  Abstract:
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.

Download TeX format
back to top
scroll left or right