DETERMINANT FORMULAS OF QUASI-FINITE REPRESENTATION OF W1+INFINITY ALGEBRA AT LOWER LEVELS

被引：14

作者：

AWATA, H

FUKUMA, M

MATSUO, Y

ODAKE, S

机构：

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

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

来源：

PHYSICS LETTERS B | 1994年 / 332卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(94)91262-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We calculate the Kac determinant for the quasi-finite representation of W1+infinity algebra up to level 8. It vanishes only when the central charge is integer. We give an algebraic construction of null states and propose the character formulae. The character of the verma module is related to free fields in three dimensions which has rather exotic modular properties.

引用

页码：336 / 344

页数：9

共 18 条

[1]

AWATA H, 1993, YITPK1049 PREPR

[2] BOSONIC REALIZATION OF A UNIVERSAL W-ALGEBRA AND Z-INFINITY PARAFERMIONS [J].