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Equation of state for a classical gas of BPS black holes

Nahomi Kan·Takuya Maki·Kiyoshi Shiraishi
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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 $N$ 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 Padé approximation and find that the result agrees with the one obtained by the mean-field approximation.

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Nahomi Kan, Takuya Maki, Kiyoshi Shiraishi. 2001-05-14. Equation of state for a classical gas of BPS black holes. https://doi.org/10.1103/physrevd.64.104009

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