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Published May 21, 2013 | Submitted + Published
Journal Article Open

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-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 three-dimensional conformal field theory.

Additional Information

© 2013 American Physical Society. Received 11 January 2013; published 21 May 2013. We thank J. Alicea, R. Loganayagam, L. Motrunich, M. Oshikawa, N. Read, D. T. Son, and G. Volovik for discussion and, in particular, O. Saremi for sharing with us his previous unpublished work. H. O. is thankful for the hospitality of the Aspen Center for Physics (NSF Grant No. 1066293). The work of H. O. and B. S. is supported in part by U.S. DOE Grant No. DE-FG03-92-ER40701. The work of H. O. is also supported in part by a Simons Investigator grant from the Simons Foundation, JSPS Grant-in-Aid for Scientific Research C-23540285, and the WPI Initiative of MEXT of Japan. H. L. is thankful for the hospitality of Caltech. The work of H. L. is partially supported by a Simons Fellowship and by the U.S. Department of Energy (DOE) under cooperative research agreement DE-FG0205ER41360. The work of N.Y. is partially supported by NSF Grant No. PHY-1114374 and NASA Grant No. NNX11AI49G, under 00001944.

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Published - PhysRevLett.110.211601.pdf

Submitted - 1212.3666v2.pdf

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