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

Spontaneous Generation of Angular Momentum in Holographic Theories

  • 1. ROR icon Massachusetts Institute of Technology
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon Kavli Institute for the Physics and Mathematics of the Universe
  • 4. ROR icon Montana State University

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N. Read, D. T. Son, and G. Volovik for discussion and, in particular, O. Saremi for sharing with us his previous unpublished work.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.

Attached Files

Published - PhysRevLett.110.211601.pdf

Submitted - 1212.3666v2.pdf

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Additional details

Identifiers

Eprint ID
39245
Resolver ID
CaltechAUTHORS:20130708-104924811

Related works

Funding

NSF
PHY-1066293
Department of Energy (DOE)
DE-FG03-92-ER40701
Simons Foundation
Japan Society for the Promotion of Science (JSPS)
C-23540285
Ministry of Education and Science of the Russian Federation
Department of Energy (DOE)
DE-FG02-05ER41360
NSF
PHY-1114374
NASA
NNX11AI49G

Dates

Created
2013-07-18
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field

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