An exact two-parameter analytic solution for a hairy black brane is derived in AdS-Einstein-scalar gravity, with thermodynamics obeying a generalized first law and Euler relation, and the boundary theory recovering nearly conformal fluid behavior in the IR thermal limit.
Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential
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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.
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Exact Planar Black Hole in AdS-Einstein-Scalar Gravity with IR Emergent Nearly Conformal Fluid
An exact two-parameter analytic solution for a hairy black brane is derived in AdS-Einstein-scalar gravity, with thermodynamics obeying a generalized first law and Euler relation, and the boundary theory recovering nearly conformal fluid behavior in the IR thermal limit.