QUASIFINITE HIGHEST WEIGHT MODULES OVER THE SUPER W-1+INFINITY ALGEBRA

被引:8
作者
AWATA, H
FUKUMA, M
MATSUO, Y
ODAKE, S
机构
[1] KYOTO UNIV,YUKAWA INST THEORET PHYS,KYOTO 606,JAPAN
[2] UNIV TOKYO,DEPT PHYS,BUNKYO KU,TOKYO 113,JAPAN
[3] SHINSHU UNIV,FAC LIBERAL ARTS,DEPT PHYS,MATSUMOTO,NAGANO 390,JAPAN
关键词
D O I
10.1007/BF02099443
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study quasifinite highest weight modules over the supersymmetric extension of the W-1+infinity algebra on the basis of the analysis by Kac and Radul. We find that the quasifiniteness of the modules is again characterized by polynomials, and obtain the differential equations for highest weights. The spectral flow, free field realization over the (B, C)-system, and the embedding into ($) over cap gl(infinity/infinity) are also presented.
引用
收藏
页码:151 / 179
页数:29
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