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arxiv: 0904.2873 · v1 · submitted 2009-04-20 · ✦ hep-th

Deformations of Holographic Duals to Non-Relativistic CFTs

classification ✦ hep-th
keywords non-relativisticsolutionsdualsupergravitydeformationsmelvinnullpilch-warner
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We construct the non-relativistic counterparts of some well-known supergravity solutions dual to relevant and marginal deformations of N=4 super Yang-Mills. The main tool we use is the null Melvin twist and we apply it to the N=1 and N=2* Pilch-Warner RG flow solutions as well as the Lunin-Maldacena solution dual to beta-deformations of N=4 super Yang-Mills. We also obtain a family of supergravity solutions with Schrodinger symmetry interpolating between the non-relativistic version of the N=1 Pilch-Warner and Klebanov-Witten fixed points. A generic feature of these non-relativistic backgrounds is the presence of non-vanishing internal fluxes. We also find the most general, three-parameter, null Melvin twist of the AdS_5xS^5 black hole. We briefly comment on the field theories dual to these supergravity solutions.

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