Entropy of nonextreme charged rotating black holes in string theory

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 dilatonaxion 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 'rightmoving' 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).

Stability of string configurations dual to quarkonium states in AdS/CFT

“…These metrics were found in full generality in [9], based on previous results from [22], and their thermodynamical properties were examined in [24]. In the conventions of [23] which we here follow, the field-theory limit of these solutions is characterized by the non-extremality parameter µ and the angular momentum parameters a i , i = 1, 2, 3.…”

“…A second class of such backgrounds are spinning non-extremal D3-branes [9,22,23,24], dual to N = 4 SYM at finite temperature and R-charge chemical potentials. The behavior is similar to that in the absence of chemical potentials, but the nontrivial dependence of the metrics on certain angles again calls for a stability analysis.…”

Three-charge supertubes in a rotating black hole background

“…Therefore the entropy of the end product will differ from (6.3). One candidate for the result of the merger is the non-BPS, charged, rotating black hole found by Cvetic and Youm (CY) in [29,30]. This solution in general has J 1 = J 2 .…”

Structure of composite black p-brane configurations and related black holes

“…It remains to be seen whether the presence of additional matter fields makes some of more complicated embeddings more promising. 11 This work was partially supported by PPARC, the European Commission TMR programme ERBFMRX-CT96-0045 and NATO grant CRG 940870. 11 In particular, there is a question of whether D-branes should have any special importance in this context (given also that the non-extremality of the solutions is essential here: for µ = 0 (2) becomes simply a flat space).…”

“…1 Some special cases were discussed, e.g., in [8,5,9,10,11,12] (see [6] for a more complete list of references).…”