Large-N Expansion and String Theory Out of Equilibrium. (arXiv:2008.11685v1 [hep-th])
Large-N Expansion and String Theory Out of Equilibrium. (arXiv:2008.11685v1 [hep-th]) <a href="http://arxiv.org/find/hep-th/1/au:+Horava_P/0/1/0/all/0/1">Petr Horava</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Mogni_C/0/1/0/all/0/1">Christopher J. Mogni</a> We analyze the large-$N$ expansion of general non-equilibrium systems with fluctuating matrix degrees of freedom and $SU(N)$ symmetry, using the Schwinger-Keldysh formalism and its closed real-time contour with a forward and backward component. In equilibrium, the large-$N$ expansion of such systems leads to a sum over topologies of two-dimensional surfaces of increasing topological complexity, predicting the possibility of a dual description in terms of string theory. We extend this argument away from equilibrium, and study the universal features of the topological expansion in the dual string theory. WeRead More →