String theory duals of Lifshitz-Chern-Simons gauge theories

Abstract

We propose candidate gravity duals for a class of non-Abelian z=2 Lifshitz Chern-Simons (LCS) gauge theories studied by Mulligan, Kachru and Nayak. These are nonrelativistic gauge theories in 2+1 dimensions in which parity and time-reversal symmetries are explicitly broken by the presence of a Chern-Simons term. We show that these field theories can be realized as deformations of DLCQ N=4 super Yang-Mills theory. Using the holographic dictionary, we identify the bulk fields that are dual to these deformations. The geometries describing the groundstates of the non-Abelian LCS gauge theories realized here exhibit a mass gap.

25+14 pages, 3 figures; v2: significant corrections regarding IR geometry, resulting in new section 5; journal version

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Cited by in corpus (8)

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• Lifshitz holography
• Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
• The Benefits of Stress: Resolution of the Lifshitz Singularity
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• On a lightlike limit of entanglement
• Classification of certain asymptotically AdS space-times with Ricci-flat boundary
• Marginal Deformations of Non-Relativistic Field Theories