MS Seminar (Mathematics - String Theory)

Speaker: Alexander Zhiboedov (Harvard U)
Title: Conformal Bootstrap At Large Charge
Date: Thu, Oct 12, 2017, 13:15 - 14:30
Place: Seminar Room B
Abstract: We consider unitary CFTs with continuous global symmetries in d>2. We consider a state created by the lightest operator of large charge Q>>1. We analyze the four-point correlator of two light charged operators in this state. We assume that the four-point function admits a large Q expansion and that to leading order only N Regge trajectories contribute to the correlator. We also assume that the correlation function has a finite macroscopic, or thermodynamic, limit. Under these assumptions, we classify leading order solutions to the crossing equations. For one Regge trajectory the solution is unique and is given by the answer in the Goldstone boson effective field theory of Hellerman et al. For two or more Regge trajectories some solutions admit a simple weakly coupled description, whereas others are encoded in roots of a specific degree N polynomial.