Collective fields, Calogero-Sutherland model and generalized matrix models
高能物理 - 理论
2009-10-28 v3 凝聚态物理
摘要
On the basis of the collective field method, we analyze the Calogero--Sutherland model (CSM) and the Selberg--Aomoto integral, which defines, in particular case, the partition function of the matrix models. Vertex operator realizations for some of the eigenstates (the Jack polynomials) of the CSM Hamiltonian are obtained. We derive Virasoro constraint for the generalized matrix models and indicate relations with the CSM operators. Similar results are presented for the --deformed case (the Macdonald operator and polynomials), which gives the generating functional of infinitely many conserved charges in the CSM.
关键词
引用
@article{arxiv.hep-th/9411053,
title = {Collective fields, Calogero-Sutherland model and generalized matrix models},
author = {H. Awata and Y. Matsuo and S. Odake and J. Shiraishi},
journal= {arXiv preprint arXiv:hep-th/9411053},
year = {2009}
}
备注
13 pages, latex, no figures, a few references added