Deformations of Holographic Duals to Non-Relativistic CFTs

Abstract

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.

34 pages, 1 figure, LaTeX

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• Galilean anti-de-Sitter spacetime in Romans theory
• Geometry and Phase Structure of Non-Relativistic Branes
• Open String in Non-Relativistic Background
• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds
• String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring
• Light-Cone Reduction vs. TsT transformations : A Fluid Dynamics Perspective
• Marginal Deformations of Non-Relativistic Field Theories
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background
• Note About Hamiltonian Dynamics of String in Non-Relativistic D3-Brane Background