Thermodynamic Stability and Phases of General Spinning Branes

TL;DR

This paper analyzes the thermodynamic stability of rotating branes with multiple angular momenta, exploring phase boundaries, critical behavior, and inhomogeneity tendencies, with implications for supersymmetry restoration in high-spin regimes.

Contribution

It provides a detailed stability analysis of spinning branes, including critical exponents and the behavior of angular momentum density, extending understanding of their phase structure and supersymmetry restoration.

Findings

Stability boundaries depend on angular momenta configurations.

Near the boundary, critical exponents match field theory predictions.

Outside the stability boundary, angular momentum density becomes inhomogeneous.

Abstract

We determine the thermodynamic stability conditions for near-extreme rotating D3, M5, and M2-branes with multiple angular momenta. Critical exponents near the boundary of stability are discussed and compared with a naive field theory model. From a partially numerical computation we conclude that outside the boundary of stability, the angular momentum density tends to become spatially inhomogeneous. Periodic Euclidean spinning brane solutions have been studied as models of QCD. We explain how supersymmetry is restored in the world-volume field theory in the limit of large spin and discuss the hierarchy of energy scales that develops as this limit is approached.