Equation of state for a classical gas of BPS black holes
Nahomi Kan (Yamaguchi U.), Takuya Maki (Japan Woman's College of, Physical Education), Kiyoshi Shiraishi (Yamaguchi U.)
TL;DR
This paper develops a statistical mechanics framework for BPS black holes, deriving an equation of state that aligns with mean-field results, using moduli space volume and Padé approximation.
Contribution
It introduces a point particle approach to BPS black holes' statistical mechanics and estimates their equation of state without static potential.
Findings
Equation of state matches mean-field approximation results.
Partition function expressed via moduli space volume.
Uses Padé approximation for estimation.
Abstract
A point particle treatment to the statistical mechanics of BPS black holes in Einstein-Maxwell-dilaton theory is developed. Because of the absence of the static potential, the canonical partition function for BPS black holes can be expressed by the volume of the moduli space for them. We estimate the equation of state for a classical gas of BPS black holes by Pad\'e approximation and find that the result agrees with the one obtained by the mean-field approximation.
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