1/N effects in non-relativistic gauge-gravity duality
We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to nite renormalization of the dynamical exponent of the dual conformal eld theory. Our argument includes a proof of the non-renormalization of the Schr odinger and Lifshitz me...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Physics
2010
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| Online Access: | http://hdl.handle.net/1721.1/51040 https://orcid.org/0000-0003-0421-4818 |
| _version_ | 1826189307959836672 |
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| author | Adams, Allan Maloney, Alexander Sinha, Aninda Vazquez, Samuel E. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Adams, Allan Maloney, Alexander Sinha, Aninda Vazquez, Samuel E. |
| author_sort | Adams, Allan |
| collection | MIT |
| description | We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic
gauge-gravity duality, to nite renormalization of the dynamical exponent of the dual conformal
eld theory. Our argument includes a proof of the non-renormalization of the Schr odinger
and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case.
We use this e ect to construct string-theory duals of non-relativistic critical systems with
non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios
of these systems. The predicted values weakly violate the KSS bound. |
| first_indexed | 2024-09-23T08:12:44Z |
| format | Article |
| id | mit-1721.1/51040 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:12:44Z |
| publishDate | 2010 |
| publisher | Institute of Physics |
| record_format | dspace |
| spelling | mit-1721.1/510402022-09-30T08:19:56Z 1/N effects in non-relativistic gauge-gravity duality Adams, Allan Maloney, Alexander Sinha, Aninda Vazquez, Samuel E. Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Adams, Allan Adams, Allan We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to nite renormalization of the dynamical exponent of the dual conformal eld theory. Our argument includes a proof of the non-renormalization of the Schr odinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this e ect to construct string-theory duals of non-relativistic critical systems with non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios of these systems. The predicted values weakly violate the KSS bound. Province of Ontario Ministry of Research & Innovation Industry Canada National Science and Engineering Research Council of Canada Department of Energy 2010-01-29T18:58:11Z 2010-01-29T18:58:11Z 2009-03 2009-01 Article http://purl.org/eprint/type/SubmittedJournalArticle 1029-8479 http://hdl.handle.net/1721.1/51040 Adams, Allan et al. “1/N effects in non-relativistic gauge-gravity duality.” Journal of High Energy Physics 2009.03 (2009): 097. https://orcid.org/0000-0003-0421-4818 en_US http://dx.doi.org/10.1088/1126-6708/2009/03/097 Journal of High Energy Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Physics Allan Adams |
| spellingShingle | Adams, Allan Maloney, Alexander Sinha, Aninda Vazquez, Samuel E. 1/N effects in non-relativistic gauge-gravity duality |
| title | 1/N effects in non-relativistic gauge-gravity duality |
| title_full | 1/N effects in non-relativistic gauge-gravity duality |
| title_fullStr | 1/N effects in non-relativistic gauge-gravity duality |
| title_full_unstemmed | 1/N effects in non-relativistic gauge-gravity duality |
| title_short | 1/N effects in non-relativistic gauge-gravity duality |
| title_sort | 1 n effects in non relativistic gauge gravity duality |
| url | http://hdl.handle.net/1721.1/51040 https://orcid.org/0000-0003-0421-4818 |
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