Speaker
Tomas Prochazka
(SEZNAM)
Description
I want to talk about results obtained recently with Matej Kudrna in the context of ODE/IM (or ODE/IQFT) correspondence for WN algebras. WN algebras are VOAs that are natural generalizations of Virasoro algebra. They have interesting integrable structures, in particular the quantum KP hierarchy (which generalizes the quantum KdV hierarchy in the case of Virasoro). The simultaneous eigenvalues of infinite family of local conserved charges are diagonalized by Bethe equations and can be mapped via ODE/IM correspondence to ordinary differential operators in the complex plane (opers).