String theory duals of Lifshitz-Chern-Simons gauge theories

Details String theory duals of Lifshitz-Chern-Simons gauge theories String theory duals of Lifshitz-Chern-Simons gauge theories

2011-11-02

arxiv.org/abs/1111.0634v1

Physics

High Energy Physics

High Energy Physics - Theory

18+14 pages, 3 figures

Scientific paper

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 geometry describing the groundstate of the non-Abelian LCS gauge theory realized here ends smoothly in the infrared region. This is a signal for confinement in the dual field theory, suggesting that non-Abelian Lifshitz gauge theories can indeed flow to strongly-coupled confining theories.

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