Schäfer-Nameki, Sakura and Yamazaki, Masahito and Yoshida, Kentaroh (2009) Coset construction for duals of non-relativistic CFTs. Journal of High Energy Physics, 2009 (05). Art. No. 038. ISSN 1126-6708 http://resolver.caltech.edu/CaltechAUTHORS:20090901-154959509
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We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrödinger group and variants thereof. These cosets G/H are generically non-reductive and we discuss in generality how a metric on such spaces can be determined from a non-degenerate H-invariant symmetric two-form. Applying this to the d = 2 Schrödinger algebra, we reproduce the five-dimensional backgrounds proposed as duals of fermions at unitarity, and under reasonable physical assumptions, we demonstrate uniqueness of this background. The proposed gravity dual of the Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into this organizational scheme and uniqueness of this background can also be shown.
|Additional Information:||Copyright ©2009 SISSA. Received 12 April 2009, accepted for publication 24 April 2009. Published 11 May 2009. We would like to thank T. Azeyanagi, N. Bobev, S. Detournay, T. Dimofte, M. Fels, J. Gomis, A. Mikhailov, M. Mulligan, H. Ooguri and M. Sakaguchi for useful comments and discussions. We thank the KITP, Santa Barbara, for hospitality during some of this work. This work is supported by DOE grant DE-FG03-92-ER40701 (SSN and MY), by a Caltech John A. McCone Postdoctoral Fellowship (SSN), by the World Premier International Research Center Initiative, MEXT, Japan, by the JSPS fellowships for Young Scientists, and by Global COE Program “the Physical Sciences Frontier”, MEXT, Japan (MY), and by the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence”, MEXT, Japan (KY). E-print number: 0903.4245|
|Subject Keywords:||Space-Time Symmetries; AdS-CFT Correspondence; Gauge-gravity correspondence|
|Official Citation:||Coset construction for duals of non-relativistic CFTs Sakura Schäfer-Nameki, Masahito Yamazaki and Kentaroh Yoshida JHEP05(2009)038 doi: 10.1088/1126-6708/2009/05/038|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||George Porter|
|Deposited On:||14 Sep 2009 23:27|
|Last Modified:||26 Dec 2012 11:18|
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