Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings

TL;DR

This work addresses the thermodynamics of near-extremal R-charged black holes in $AdS_{5}$ by proposing an effective-string description formed from intersecting giant gravitons on $S^{5}$, supported by a free-fermion (LLM) picture for the one-charge limit. The authors derive a CFT dictionary linking black-hole charges and extremality to conformal data, and show that effective strings with appropriate central charges reproduce the semiclassical thermodynamics in the small-charge regime, including a Cardy-like counting for the three-charge horizon. They provide explicit central-charge formulas for the one- and multi-charge cases and demonstrate how holographic microstates can be encoded as CFT operators constructed from giant-graviton determinants. The results illuminate the connection between D-brane intersections, giant gravitons, and the holographic microstate structure of AdS$_5$ black holes, suggesting concrete CFT operator constructions and highlighting open questions about mass gaps and phase transitions in the multi-charge regime.

Abstract

It is well known that the thermodynamics of certain near-extremal black holes in asymptotically flat space can be lifted to an effective string description created from the intersection of D-branes. In this paper we present evidence that the semiclassical thermodynamics of near-extremal R-charged black holes in AdS(5)xS(5) is described in a similar manner by effective strings created from the intersection of giant gravitons on the S(5). We also present a free fermion description of the supersymmetric limit of the one-charge black hole, and we give a crude catalog of the microstates of the two and three-charge black holes in terms of operators in the dual conformal field theory.