MS Seminar (Mathematics - String Theory)

Speaker: Dongsu Bak (Seoul University)
Title: Phase Transitions in the U(1) Charged Sector of ABJM Theory
Date: Tue, Jan 25, 2011, 13:15 - 14:45
Place: Seminar Room A
Abstract: In the introductory part, I shall explain some basic aspects of RN black holes in general dimensions and their Fermi surface interpretation. In the main body of this talk, we shall 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 shall 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 demonstrate 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.