Matrix Theory, Hilbert Scheme and Integrable System

Details Matrix Theory, Hilbert Scheme and Integrable System Matrix Theory, Hilbert Scheme and Integrable System

1998-07-12

arxiv.org/abs/hep-th/9807085v1

Mod.Phys.Lett. A13 (1998) 2731-2742

Physics

High Energy Physics

High Energy Physics - Theory

13 pages 1 figure

Scientific paper

10.1142/S0217732398002904

We give a reinterpretation of the matrix theory discussed by Moore, Nekrasov and Shatashivili (MNS) in terms of the second quantized operators which describes the homology class of the Hilbert scheme of points on surfaces. It naturally relate the contribution from each pole to the inner product of orthogonal basis of free boson Fock space. These basis can be related to the eigenfunctions of Calogero-Sutherland (CS) equation and the deformation parameter of MNS is identified with coupling of CS system. We discuss the structure of Virasoro symmetry in this model.

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