3:00–4:00 pm Eckhart 206
Title: The massless sine-Gordon model - from solitons to integrability and spontaneous symmetry breaking
Abstract:
The massless sine-Gordon model is a central example in 2d probabilistic quantum field theory. It is dual to the 2d Coulomb gas and conjecturally features in various different contexts such as in the continuum limits of height functions of near-critical dimer and 6-vertex models. This talk starts with a brief overview of the probabilistic perspective on quantum field theory and then explains various aspects in the instance of the massless sine-Gordon model. This includes in particular a recent result with Christian Webb (Helsinki) and Scott Mason (NYU) in which we prove the conjecture that the fractional correlation functions of the sine-Gordon model at the free fermion point are given by renormalized determinants of twisted Dirac operators -- the tau functions of Sato-Miwa-Jimbo.