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Angular momentum generation by parity violation

Liu, Hong and Ooguri, Hirosi and Stoica, Bogdan (2014) Angular momentum generation by parity violation. Physical Review D, 89 (10). Art. No. 106007. ISSN 1550-7998. doi:10.1103/PhysRevD.89.106007.

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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 nonmarginal (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.

Item Type:Article
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URLURL TypeDescription Paper
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 2014 American Physical Society. Received 23 December 2013; Published 19 May 2014. Note added.—When this paper was almost complete, we received the paper [37], in which holographic models with nonzero angular momentum and Hall viscosity are discussed. Their models are different from those discussed in this paper. We thank S. S. Gubser, O. Saremi and D. T. Son for useful discussion, and we are grateful to N. Yunes for collaboration on the early stages of this project. We would like to thank K. Landsteiner and the referee for their useful comments on the paper. H. O. and B. S. are 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 award from the Simons Foundation, the WPI Initiative of MEXT of Japan, and JSPS Grant-in-Aid for Scientific Research No. C-23540285. He also thanks the hospitality of the Aspen Center for Physics and the National Science Foundation, which supports the Center under Grant No. PHY-1066293, and of the Simons Center for Geometry and Physics. The work of B. S. is supported in part by a Dominic Orr Graduate Fellowship. B. S. would like to thank the hospitality of the Kavli Institute for the Physics and Mathematics of the Universe and of the Yukawa Institute for Theoretical Physics. H. L. is supported in part by funds provided by the U.S. DOE under cooperative research agreement Grant No. DEFG0205ER41360 and thanks the hospitality of Isaac Newton Institute for Mathematical Sciences.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Simons FoundationUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)C-23540285
Dominic Orr Graduate FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG02-05ER41360
Issue or Number:10
Record Number:CaltechAUTHORS:20140814-092632811
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Official Citation:Liu, H., Ooguri, H., & Stoica, B. (2014). Angular momentum generation by parity violation. Physical Review D, 89(10), 106007.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48550
Deposited By: Joanne McCole
Deposited On:14 Aug 2014 20:53
Last Modified:10 Nov 2021 18:32

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