Theoretical Physics Wednesday Seminar: Andrei Marshakov

  • Datum: –15.00
  • Plats: Polacksbacken Å2005
  • Föreläsare: Andrei Marshakov
  • Arrangör: Aleksandr Popolitov
  • Kontaktperson: Aleksandr Popolitov
  • Seminarium

SUSY gauge theories and cluster integrable systems

I am going to present recent points of view on the well-known relation between N=2 SUSY gauge theories and integrable systems. It turns to be possible to make a strict statement that its (dual) partition function as a function of coupling constant satisfies non-autonomous differential equation. This statement is actually proven or verified for some class of uplifted to 5d SUSY gauge theories in (a special) Omega-background, where now difference equation comes out of deautonomization of a cluster integrable system. I will present few explicit examples, including the families of q-Painlevé equations and topological strings for Y_{N,k} geometry. Based on joint works with M. Bershtein, P. Gavrylenko and M. Semenyaki.