Entropy of Non-Extreme Charged Rotating Black Holes in String Theory

TL;DR

This paper derives explicit formulas for the entropy of four- and five-dimensional rotating charged black holes in string theory, linking macroscopic thermodynamic properties to microscopic D-brane configurations.

Contribution

It provides explicit expressions for black hole solutions and their entropy in string theory, highlighting a product form suggestive of microscopic interpretations.

Findings

Explicit entropy formulas for 4D and 5D black holes.

Entropy expressed as a sum of left- and right-moving terms.

Potential microscopic interpretation of entropy structure.

Abstract

We give the explicit expression for four-dimensional rotating charged black hole solutions of N=4 (or N=8) superstring vacua, parameterized by the ADM mass, four charges (two electric and two magnetic charges, each arising from a different U(1) gauge factors), and the angular momentum (as well as the asymptotic values of four toroidal moduli of two-torus and the dilaton-axion field). The explicit form of the thermodynamic entropy is parameterized in a suggestive way as a sum of the product of the `left-moving' and the `right-moving' terms, which may have an interpretation in terms of the microscopic degrees of freedom of the corresponding D-brane configuration. We also give an analogous parameterization of the thermodynamic entropy for the recently obtained five-dimensional rotating charged black holes parameterized by the ADM mass, three U(1) charges and two rotational parameters (as well as the asymptotic values of one toroidal modulus and the dilaton).