Holographic Symmetry-Breaking Phases in AdS$_3$/CFT$_2$

Details Holographic Symmetry-Breaking Phases in AdS$_3$/CFT$_2$ Holographic Symmetry-Breaking Phases in AdS$_3$/CFT$_2$

2010-11-15

arxiv.org/abs/1011.3520v3

JHEP 1111:104,2011

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 7 figure

Scientific paper

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.

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