PIRSA:07100010 Scientific Series Quantum Fields and Strings

DOI10.48660/07100010

Series: Quantum Fields and Strings

Weiss, M. (2007). Nonperturbative effects in matrix models and topological strings. Perimeter Institute. https://pirsa.org/07100010

Weiss, Marlene. Nonperturbative effects in matrix models and topological strings. Perimeter Institute, Oct. 16, 2007, https://pirsa.org/07100010 

@misc{ pirsa_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},
  year = {2007},
  month = {oct},
  note = {PIRSA:07100010 see, \url{https://pirsa.org}}
}

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.

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