A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

被引：164

作者：

Shiraishi, JI

Kubo, H

Awata, H

Odake, S

机构：

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

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

[3] SHINSHU UNIV,FAC SCI,DEPT PHYS,MATSUMOTO,NAGANO 390,JAPAN

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1996年 / 38卷 / 01期

关键词：

quantum deformation; Virasoro algebra; bosonic realization; Macdonald symmetric functions;

D O I：

10.1007/BF00398297

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra. Singular vectors are expressed by the Macdonald symmetric functions. This is proved by constructing screening currents acting on the bosonic Fock space.

引用

页码：33 / 51

页数：19

共 26 条

[1] ON THE LARGE-N LIMIT IN SYMPLECTIC MATRIX MODELS [J].