Nonperturbative effects in matrix models and topological strings

          @misc{ scivideos_PIRSA:07100010,
            doi = {10.48660/07100010},
            url = {https://pirsa.org/07100010},
            author = {Weiss, Marlene},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Nonperturbative effects in matrix models and topological strings},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2007},
            month = {oct},
            note = {PIRSA:07100010 see, \url{https://scivideos.org/pirsa/07100010}}
          }
          

Abstract

It has been known for a long time that instanton effects control the large order behavior of the perturbation series in quantum mechanics and gauge theories. I present a study of this connection in the context of matrix models in 1/N-expansion and topological strings. I will show how to compute the one-instanton corrections for a generic matrix model. Due to a recent matrix model inspired formalism for the topological string amplitudes on local Calabi-Yau manifolds, this can be used to compute nonperturbative effects in topological string theory and make predictions about the asymptotics of the string perturbation series. I discuss various cases where our predictions can be tested, yielding spectacular agreement with the asymptotics extracted by standard numerical methods.