Special Seminar by Mario de Marco (ULB): Bethe Ansatz equations, Calogero-Moser systems and elliptic functions

Speaker: Mario de Marco (ULB)

Venue & Time: Red Room / 12:00

Title: Bethe Ansatz equations, Calogero-Moser systems and elliptic functions

Abstract:The superconformal indeces of 4d SCFTs count their BPS states and, holographically, the microstates of the dual black holes. A possible approach to the exact computation of the index requires solving the so-called Bethe Ansatz equations (BAE). In this talk, I will introduce a rewriting of the BAE in terms of elliptic functions, focusing on the case with 16 supercharges. Such a rewriting permits 1) to quantitatively capture the conjectural relation of BAE with the Calogero-Moser integrable system (and the related continuous solutions) and 2) to rephrase the BAE in terms of configurations of lines on a plane intersecting an elliptic curve.
Based on WIP with M. Graffeo and A. Zanetti