Thermodynamics of Spinning Branes and their Dual Field Theories

TL;DR

This paper analyzes the thermodynamics of spinning black branes in string and M-theory, exploring their stability, dual field theories, and the effects of angular momentum and coupling strength, with implications for gauge/gravity duality.

Contribution

It provides a comprehensive analysis of spinning brane thermodynamics, including stability boundaries and the comparison of weak and strong coupling regimes, supporting the gauge/gravity duality conjecture.

Findings

Stability boundaries are computed for all spinning branes in different ensembles.

Critical values of Omega/T are similar at weak and strong coupling for several branes.

Tree level R^4 corrections support a smooth interpolation between weak and strong coupling free energies.

Abstract

We present a general analysis of the thermodynamics of spinning black p-branes of string and M-theory. This is carried out both for the asymptotically-flat and near-horizon case, with emphasis on the latter. In particular, we use the conjectured correspondence between the near-horizon brane solutions and field theories with 16 supercharges in various dimensions to describe the thermodynamic behavior of these field theories in the presence of voltages under the R-symmetry. Boundaries of stability are computed for all spinning branes both in the grand canonical and canonical ensemble, and the effect of multiple angular momenta is considered. A recently proposed regularization of the field theory is used to compute the corresponding boundaries of stability at weak coupling. For the D2, D3, D4, M2 and M5-branes the critical values of Omega/T in the weak and strong coupling limit are remarkably close. Finally, we also show that for the spinning D3-brane the tree level R^4 correction supports the conjecture of a smooth interpolating function between the free energy at weak and strong coupling.