Nekrasov prepotential with fundamental matter from the quantum spin chain

Yegor Zenkevich

doi:10.1016/j.physletb.2011.06.030

Nekrasov prepotential with fundamental matter from the quantum spin chain

Mathematical Physics 2011-07-20 v2 High Energy Physics - Theory math.MP

Authors: Yegor Zenkevich

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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.

Keywords

Nekrasov prepotential Bohr-Sommerfeld periods quantum integrable systems spin chain Baxter equation Gaudin system fundamental hypermultiplets

Cite

@article{arxiv.1103.4843,
  title  = {Nekrasov prepotential with fundamental matter from the quantum spin chain},
  author = {Yegor Zenkevich},
  journal= {arXiv preprint arXiv:1103.4843},
  year   = {2011}
}

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13 pages, 1 figure, added reference

Nekrasov prepotential with fundamental matter from the quantum spin chain

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