Nekrasov prepotential with fundamental matter from the quantum spin chain

Abstract

Nekrasov functions were conjectured in \cite{Mironov:2009uv} to be related to exact Bohr-Sommerfeld periods of quantum integrable systems. This statement was thoroughly checked for the case of the pure $SU(N_c)$ gauge theory in \cite{Mironov:2009dv} and \cite{Popolitov:2010bz}. Here we successfully perform a set of checks in the case of gauge group $SU(N_c)$ with additional $N_f$ fundamental hypermultiplets. We show that the Baxter equation for the spin chain gives the same quantum periods as the one for the Gaudin system in this case.

13 pages, 1 figure, added reference

References in corpus (2)

• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves

Cited by in corpus (1)

• Quantum Hitchin Systems via beta-deformed Matrix Models