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Fabrizio Del Monte (Université de Montréal)
Tuesday 08 November 2022, 15:00-17:00
The threefold way to quantum periods: q-WKB periods, TBA and q-Painlevé equations
- 👤 Speaker: Fabrizio Del Monte (Université de Montréal)
- 📅 Date & Time: Tuesday 08 November 2022, 15:00 - 17:00
- 📍 Venue: Seminar Room 2, Newton Institute
Abstract
In this talk I will illustrate a new relation that is emerging between WKB approximation of q-difference equations, q-Painleve’, and a set of TBA equations associated to del Pezzo surfaces. In particular, I will show how this relation can be used to obtain exactly the spectrum of stable states and the partition functions of certain five-dimensional Quantum Field Theories, obtained by M-theory on an appropriate (local) Calabi-Yau threefold. The exactly solvable spectrum turns out to be given by algebraic solutions of q-Painleve’ equations, and in the corresponding (nonsingular) region in moduli space the Voros symbols turn out to be classically exact.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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