Nakamura, Shin and Ooguri, Hirosi and Park, Chang-Soon (2010) Gravity dual of spatially modulated phase. Physical Review D, 81 (4). Art. No. 044018. ISSN 2470-0010. doi:10.1103/PhysRevD.81.044018. https://resolver.caltech.edu/CaltechAUTHORS:20100413-155824837
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Abstract
We show that the five-dimensional Maxwell theory with the Chern-Simons term is tachyonic in the presence of a constant electric field. When coupled to gravity, a sufficiently large Chern-Simons coupling causes instability of the Reissner-Nordström black holes in anti-de Sitter space. The instability happens only at nonvanishing momenta, suggesting a spatially modulated phase in the holographically dual quantum field theory in (3+1) dimensions, with spontaneous current generation in a helical configuration. The three-charge extremal black hole in the type IIB superstring theory on AdS_5×S^5 barely satisfies the stability condition.
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| Additional Information: | © 2010 The American Physical Society. Received 26 November 2009; published 10 February 2010. We thank M. Fisher, K. Hashimoto, G. Horowitz, S. Kinoshita, A. Kitaev, M. Kitazawa, H. Liu, K. Murata, M. Oshikawa, Y. Tachikawa, and T. Takayanagi for discussions. H. O. and C.-S. P. are supported in part by DOE Grant No. DE-FG03-92-ER40701. H. O. is also supported in part by the World Premier International Research Center Initiative of MEXT of Japan and by a Grant-in-Aid for Scientific Research (C) under Grant No. 20540256 of JSPS. S. N. is supported by the Grant-in-Aid for the Global COE Program ‘‘The Next Generation of Physics, Spun from Universality and Emergence’’ of MEXT of Japan. S. N. was also supported by the SRC Program of the KOSEF through the Center for Quantum Space-time of Sogang University under Grant No. R11-2005-021 and by the YST program of Asia Pacific Center for Theoretical Physics at the initial stage of the present work. H. O. thanks the Albert Einstein Institute in Golm, the Aspen Center for Physics, the Galileo Galilei Institute in Florence, the Kavli Institute for Theoretical Physics in Santa Barbara, and the Yukawa Institute for Theoretical Physics in Kyoto for their hospitality. | ||||||||||||
| Group: | Caltech Theory | ||||||||||||
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| Issue or Number: | 4 | ||||||||||||
| Classification Code: | PACS: 11.25.Tq. | ||||||||||||
| DOI: | 10.1103/PhysRevD.81.044018 | ||||||||||||
| Record Number: | CaltechAUTHORS:20100413-155824837 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100413-155824837 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 17967 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 30 Apr 2010 05:13 | ||||||||||||
| Last Modified: | 08 Nov 2021 23:40 |
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