Holographic Symmetry-Breaking Phases in AdS$_3$/CFT$_2$
High Energy Physics - Theory
2015-05-20 v3 General Relativity and Quantum Cosmology
Abstract
In this note we study the symmetry-breaking phases of 3D gravity coupled to matter. In particular, we consider black holes with scalar hair as a model of symmetry-breaking phases of a strongly coupled 1+1 dimensional CFT. In the case of a discrete symmetry, we show that these theories admit metastable phases of broken symmetry and study the thermodynamics of these phases. We also demonstrate that the 3D Einstein-Maxwell theory shows continuous symmetry breaking at low temperature. The apparent contradiction with the Coleman-Mermin-Wagner theorem is discussed.
Keywords
Cite
@article{arxiv.1011.3520,
title = {Holographic Symmetry-Breaking Phases in AdS$_3$/CFT$_2$},
author = {Nima Lashkari},
journal= {arXiv preprint arXiv:1011.3520},
year = {2015}
}
Comments
15 pages, 7 figure