Spontaneous Generation of Angular Momentum in Holographic Theories

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.

6 pages

References in corpus (4)

• Seeing a c-theorem with holography
• Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
• Forced Fluid Dynamics from Gravity
• Holographic End-Point of Spatially Modulated Phase Transition

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