Spontaneous Generation of Angular Momentum in Holographic Theories

TL;DR

This paper demonstrates that in holographic theories, gravitational and gauge couplings can induce spontaneous angular momentum in black brane solutions without altering their geometry, revealing new boundary field theory phenomena.

Contribution

It uncovers a novel mechanism where gravitational Chern-Simons and axionic couplings generate angular momentum in holographic black branes.

Findings

Angular momentum density arises without geometric change.

Couplings induce momentum in dual boundary theories.

Phenomenon observed in both gravitational and gauge sectors.

Abstract

The Schwarzschild black two-brane in four-dimensional anti-de Sitter space is dual to a finite temperature state in three-dimensional conformal field theory. We show that the solution acquires a nonzero angular momentum density when a gravitational Chern-Simons coupling is turned on in the bulk, even though the solution is not modified. A similar phenomenon is found for the Reissner-Nordstrom black two-brane with axionic coupling to the gauge field. We discuss interpretation of this phenomenon from the point of view of the boundary three-dimensional conformal field theory.