EXCITED-STATES OF THE CALOGERO-SUTHERLAND MODEL AND SINGULAR VECTORS OF THE W-N ALGEBRA

被引：96

作者：

AWATA, H

MATSUO, Y

ODAKE, S

SHIRAISHI, J

机构：

[1] KYOTO UNIV,YUKAWA INST THEORET PHYS,UJI RES CTR,UJI,KYOTO 611,JAPAN

[2] SHINSHU UNIV,FAC LIBERAL ARTS,DEPT PHYS,MATSUMOTO,NAGANO 390,JAPAN

[3] UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN

来源：

NUCLEAR PHYSICS B | 1995年 / 449卷 / 1-2期

关键词：

D O I：

10.1016/0550-3213(95)00286-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular vectors of the W-N algebra. Based on this relation, we obtain their integral representations. We also give a direct algebraic method which leads to the same result, and integral representations of the skew-Jack polynomials.

引用

页码：347 / 374

页数：28

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