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Resurgence and localization in string theory and quantum field theory: March 16 – 20, 2015

Organized by Nikita Nekrasov and Gerald Dunne

Dates: March 16 – 20, 2015

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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


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