Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential

Details Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential

2010-11-26

arxiv.org/abs/1011.5749v4

Phys. Rev. D 84, 086010 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 6 figures, typos corrected, references added, improved figures, minor changes, accepted for publication in Phys. Rev

Scientific paper

We consider the U(1) charged sector of ABJM theory at finite temperature, which corresponds to the Reissner-Nordstrom AdS black hole in the dual type IIA supergravity description. Including back-reaction to the bulk geometry, we show that phase transitions occur to a broken phase where SU(4) R-symmetry of the field theory is broken spontaneously by the condensation of dimension one or two operators. We show both numerically and analytically that the relevant critical exponents for the dimension one operator agree precisely with those of mean field theory in the strongly coupled regime of the large N planar limit.

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