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Gravity dual of spatially modulated phase

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.81.044018 DOIArticle
http://prd.aps.org/abstract/PRD/v81/i4/e044018PublisherArticle
https://arxiv.org/abs/0911.0679arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
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
Funders:
Funding AgencyGrant Number
Department of Energy (DOE) DE-FG03-92-ER40701
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS) 20540256
Korea Science and Engineering FoundationR11-2005-021
Asia Pacific Center for Theoretical PhysicsUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT68-2754
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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