Fragmentation of Spinning Branes

TL;DR

This paper investigates the stability of spinning brane geometries, revealing a spin-induced instability linked to brane emission, which correlates with metastability in dual gauge theories, distinct from thermodynamic instability.

Contribution

It demonstrates a new instability mechanism in spinning branes and connects it to gauge theory metastability, expanding understanding of black hole and brane dynamics.

Findings

Geometries become unstable at critical spin velocities

Instability corresponds to black hole metastability

Agreement with gauge theory metastability in D3 case

Abstract

The near-horizon geometries of the spinning D3-, M2- and M5-branes are examined by the probes immersed in a co-rotating frame. It is found that the geometries become unstable at critical values of the spin angular velocity by emitting the branes. We show that this instability corresponds to the metastability of the black hole systems and different from the known (local) thermodynamic instability. For the D3 case, the instability found here is in complete agreement with the known metastability of the N=4 super-Yang-Mills theory with R-symmetry chemical potentials.