Organized by Nikita Nekrasov and Gerald Dunne

Dates: March 16 – 20, 2015

Attendee List Download Talk ScheduleView Videos

Resurgence is a mathematical formalism that unifies perturbative and non-perturbative expansions into a single unified framework in the form of a “trans-series”, such that the entire trans-series is internally self-consistent with respect to Borel summation and analytic continuation of the couplings. While resurgence is well-studied in the context of differential equations and applications to quantum mechanics, where it provides explicit relations between the contributions from different saddle points, the application to string theory and quantum field theory is more recent. In a parallel development, localization techniques provide a way to evaluate exactly certain functional and ordinary integrals, where typically one gets the contribution of all saddle points, perhaps with a finite perturbation series around a given saddle point. Gauge theories in various dimensions as well as supersymmetric sigma models are active domains of application of these techniques. This workshop aims to explore possible links between resurgence and localization, with applications to the Bethe/gauge-correspondence, topological string theory, Chern-Simons theories, integrable QFT, and four dimensional gauge theory in the context of the BPS/CFT-correspondence, and the AGT duality, in particular.

#### Resurgence and localization in string theory and quantum field theory Workshop Schedule

Time | Title | Presenters | Video |

10:00am | Chern-Simons theory, analytic continuation and number theory | Stavros Garoufalidis | video slides |

11:00am | Coffee Break | SCGP Cafe | |

11:30am | On the Resurgent Asymptotics of Gauge and String Theories | Ricardo Schiappa | video slides |

12:30pm | Lunch | ||

2:30pm | What is QFT? Resurgence, transseries, and Lefschetz thimbles | Mithat Unsal | video slides |

3:30pm | Coffee | SCGP Cafe |

Time | Title | Presenters | Video |

10:00am | Winding energies in two-parameter deformation of O(4) non-linear sigma model | Sergei Lukyanov | video slides |

11:00am | Free Discussion | ||

11:30am | Lunch | ||

1:00pm | Resurgence and trans-series in physics | Gerald Dunne | video slides |

2:15pm | Transseries and resurgence in general nonlinear ODEs with examples from the Painleve systems | Ovidiu Costin | video slides |

3:30pm | Coffee Break | SCGP Cafe |

Time | Title | Presenters | Video |

10:00am | Non-perturbative effects and phase transitions in N=2* super-Yang-Mills theory at large-N. | Konstantin Zarembo | video |

11:00am | Coffee Break | SCGP Cafe | |

11:30am | WKB method to analytically solve 1D Schrodinger equation (polynomial potential) | Andre Voros | video slides |

12:30pm | Lunch | ||

2:30pm | Resurgence, ghost instantons and Picard-Lefschetz theory | Gokce Basar | video slides |

3:30pm | Coffee | SCGP Cafe |

Time | Title | Presenters | Video |

10:00am | Deformations of N=2 SCFTs and their Coulomb branch geometries | Philip Argyres | video slides |

11:00am | Coffee Break | SCGP Cafe | |

11:30am | A short introduction to Alien calculus and its applications to QFT | Daniele Dorigoni | video |

12:30pm | Lunch | ||

2:30pm | KZB, Elliptic Calogero-Moser and periodic Toda chain from N=2 gauge theory | Nikita Nekrasov | video |

3:30 | Coffee Break | SCGP Cafe | |

4:00pm | On the Resurgent Asymptotics of Supersymmetric Gauge Theories | Ines Aniceto | video slides |

Time | Title | Presenters | Video |

10:00am | The maximally supersymmetric 6-dim theories | Kimyeong Lee | video slides |

11:00am | Coffee Break | SCGP Cafe | |

11:30am | Continuity and resurgence in asymptotically free QFTs | Aleksey Cherman | video slides |

12:30pm | Lunch | ||

2:30pm | On the Resurgent Asymptotics of Topological String Theories | Marcel Vonk | video slides |

3:30pm | Coffee Break | SCGP Cafe |