Spontaneous generation of angular momentum in holographic theories

Accepted

The Schwarzschild black two-brane in AdS4 is dual to a finite temperature state in CFT3. We show that the solution acquires a non-zero 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-Nordström black two-brane with axionic coupling to the gauge field. We discuss interpretation of this phenomenon from the point of view of the boundary CFT3.