Mayer expansion of N=2 instanton partition function
by
Jean-Emile bourgine
→
Europe/Rome
Description
Instanton partition functions of N=2 SUSY gauge theories are
of major interest for two main reasons: the presence of integrable
structures and their duality with 2d CFTs (Liouville & Toda). The
mathematical methods employed to study these theories are reminiscent
of some of the tools used to study integrable statistical systems:
Hecke algebras, symmetric polynomials, Bethe equation machinery (DDV
procedure, Yang-Yang functional,...), ODE/IM,... After a brief review
of the general N=2 context, I will expose the Mayer cluster expansion
of the Nekrasov partition functions that provides a 'quantization' of
the underlying integrable structure in the form of a TBA-like integral
equation. Recent results on the next to leading order will also be
presented. These results offer the perspective to deform the
TBA-formalism in order to enrich the algebraic structure.
