Matrix Theory, Hilbert Scheme and Integrable System
High Energy Physics - Theory
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9807085,
title = {Matrix Theory, Hilbert Scheme and Integrable System},
author = {Yutaka Matsuo},
journal= {arXiv preprint arXiv:hep-th/9807085},
year = {2009}
}
Comments
13 pages 1 figure