Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential
arXiv:1011.5749 · doi:10.1103/PhysRevD.84.086010
Abstract
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.
22 pages, 6 figures, typos corrected, references added, improved figures, minor changes, accepted for publication in Phys. Rev. D
References in corpus (10)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- The Bethe ansatz for superconformal Chern-Simons
- Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
- Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
- Integrable Spin Chain in Superconformal Chern-Simons Theory
- New stability results for Einstein scalar gravity
- Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space
- Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
- On thermodynamics of N=6 superconformal Chern-Simons theory
- Static Length Scales of N=6 Chern-Simons Plasma