Monday, December 11, 2017 at 3:00pm to 4:00pm
Remi Rhodes (Paris-Est)
Polyakov's formulation of 2d bosonic string theory
Abstract. Mathematical construction et convergence of partition function of string theory is a longstanding problem born in 80's. In this talk we will present a mathematical/probabilistic construction of 2d bosonic string (also called noncritical strings). The framework we adopt was proposed by Polyakov in his seminal paper "Quantum geometry of bosonic strings". It describes a functional integral over the set of metrics on a Riemann surface with fixed topology. An essential feature of our approach is that it is probabilistic and non perturbative. The interest of our result is twofold. First, to the best of our knowledge, this is the first mathematical result about convergence of string theories. Second, our construction describes conjecturally the scaling limit of higher genus random planar maps weighted by the discrete Gaussian Free Field.
1/2 TALKS TODAY. NOTE LOCATION AND TIME CHANGE.