Nekrasov prepotential with fundamental matter from the quantum spin chain

Details Nekrasov prepotential with fundamental matter from the quantum spin chain Nekrasov prepotential with fundamental matter from the quantum spin chain

2011-03-24

arxiv.org/abs/1103.4843v2

Phys.Lett.B701:630-639,2011

Physics

Mathematical Physics

13 pages, 1 figure, added reference

Scientific paper

10.1016/j.physletb.2011.06.030

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.

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