Joint Seminar on Mathematical Physics
of National Research University HSE and Skoltech Center for Advanced Studies
on Wednesdays at 17.30 at aud. 110 of the HSE Faculty of Mathematics
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September 25, 2019 / Alexey Litvinov (Landau Inst., HSE Univ.) = = = Dual description of the deformed OSP sigma models October 2, 2019 / Boris Feigin (HSE Univ., Landau Inst.) = = = W algebras related to Lie superalgebras, (twisted) affine Yangians and coset theories October 9, 2019 / Albert Schwarz (Univ. of California, Davis) = = = Inclusive scattering matrix in perturbation theory and in algebraic quantum theory October 16, 2019 / Nikita Nekrasov (Simons Center for Geometry and Physics, Skoltech) = = = On recent progress in old problems: wavefunctions of quantum integrable systems from gauge theory and Bethe/gauge dual of N=4 super-Yang-Mills theory, Part I |
October 23, 2019
Alba Grassi (Simons Center for Geometry and Physics)
Non-perturbative approaches to quantum Seiberg–Witten curves
In this talk I will revisit and connect various non-perturbative approaches to the quantization of the Seiberg-Witten curves. I will focus on the explicit example of N = 2, SU(2) super Yang–Mills theory, which is closely related to the modified Mathieu operator. I will then show how, by using the TS/ST correspondence, we can obtain a closed formula for the Fredholm determinant and the spectral traces of the modified Mathieu operator. Finally, by using blowup equations, I will explain the connection between this operator and the tau function of Painlevé III