Equation of state for a classical gas of BPS black holes

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.

22 pages, 4 figures. Minor corrections

References in corpus (8)

• Superconformal Multi-Black Hole Quantum Mechanics
• Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions
• Moduli space metric for maximally-charged dilaton black holes
• Multicentered solution for maximally charged dilaton black holes in arbitrary dimensions
• The Dynamics of Very Special Black Holes
• Moduli Spaces for Four- and Five- Dimensional Black Holes
• Classical and quantum scattering of maximally charged dilaton black holes
• Effective field theory of slowly-moving "extreme black holes"

Cited by in corpus (2)

• Levitating Dark Matter
• Interparticle Potential up to Next-to-leading Order for Gravitational, Electrical, and Dilatonic Forces