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arXiv · hep-th/9304047

Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory

A. Gorsky·N. Nekrasov
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Abstract

We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We generalize these systems to the case of the Kac-Moody algebras and observe the connection of them with the two dimensional Yang-Mills theory.We point out that Calogero-Moser model and the models of Calogero type like Sutherland one can be obtained either classically by some reduction from two dimensional Yang-Mills theory with appropriate sources or even at quantum level by taking some scaling limit.We investigate large k limit and observe a relation with Generalized Kontsevich Model.

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A. Gorsky, N. Nekrasov. 1993-04-12. Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory. https://doi.org/10.1016/0550-3213(94)90429-4

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