Quantum W-N algebras and Macdonald polynomials

被引:124
作者
Awata, H
Kubo, H
Odake, S
Shiraishi, J
机构
[1] UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
[2] SHINSHU UNIV,FAC SCI,DEPT PHYS,MATSUMOTO,NAGANO 390,JAPAN
[3] UNIV TOKYO,INST SOLID STATE PHYS,TOKYO 106,JAPAN
关键词
D O I
10.1007/BF02102595
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive a quantum deformation of the W-N algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.
引用
收藏
页码:401 / 415
页数:15
相关论文
共 18 条
[1]   COLLECTIVE FIELD-THEORY, CALOGERO-SUTHERLAND MODEL AND GENERALIZED MATRIX MODELS [J].
AWATA, H ;
MATSUO, Y ;
ODAKE, S ;
SHIRAISHI, J .
PHYSICS LETTERS B, 1995, 347 (1-2) :49-55
[2]   EXCITED-STATES OF THE CALOGERO-SUTHERLAND MODEL AND SINGULAR VECTORS OF THE W-N ALGEBRA [J].
AWATA, H ;
MATSUO, Y ;
ODAKE, S ;
SHIRAISHI, J .
NUCLEAR PHYSICS B, 1995, 449 (1-2) :347-374
[3]  
AWATA H, IN PRESS COMMUN MATH
[4]  
AWATA H, 1995, HEPTH9503028, V91, P169
[5]  
CHEREDNIK L, 1991, RISM776
[6]   THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM-FIELD THEORY WITH ZN SYMMETRY [J].
FATEEV, VA ;
LYKYANOV, SL .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1988, 3 (02) :507-520
[7]  
FRENKEL E, QALG9505025
[8]  
LAPOINTE L, HEPTH9507073
[9]  
MACDONALD IG, 1995, SYMMETRIC FUNCTIONS
[10]   INTEGRABLE CONNECTIONS RELATED TO ZONAL SPHERICAL-FUNCTIONS [J].
MATSUO, A .
INVENTIONES MATHEMATICAE, 1992, 110 (01) :95-121