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arXiv · 1311.5879

Angular Momentum Generation by Parity Violation

Hong Liu·Hirosi Ooguri·Bogdan Stoica
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Abstract

We generalize our holographic derivation of spontaneous angular momentum generation in 2 + 1 dimensions in several directions. We consider cases when a parity violating perturbation responsible for the angular momentum generation can be non-marginal (while in our previous paper we restricted to a marginal perturbation), including all possible two-derivative interactions, with parity violations triggered both by gauge and gravitational Chern-Simons terms in the bulk. We make only a minimal assumption about the bulk geometry that it is asymptotically AdS, respects the Poincaré symmetry in 2 + 1 dimensions, and has a horizon. In this generic setup, we find a remarkably concise and universal formula for the expectation value of the angular momentum density, to all orders in the parity violating perturbation.

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Hong Liu, Hirosi Ooguri, Bogdan Stoica. 2014-06-30. Angular Momentum Generation by Parity Violation. https://doi.org/10.1103/physrevd.89.106007

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