INFINITE DIMENSIONAL GRASSMANNIAN STRUCTURE OF 2-DIMENSIONAL QUANTUM-GRAVITY

被引:133
作者
FUKUMA, M [1 ]
KAWAI, H [1 ]
NAKAYAMA, R [1 ]
机构
[1] NATL LAB HIGH ENERGY PHYS,OHO,IBARAKI 305,JAPAN
关键词
D O I
10.1007/BF02099014
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the infinite dimensional Grassmannian structure of 2D quantum gravity coupled to minimal conformal matters, and show that there exists a large symmetry, the W1 + infinity symmetry. Using this symmetry structure, we prove that the square root of the partition function, which is a tau-function of the p-reduced KP hierarchy, satisfies the vacuum condition of the W1 + infinity algebra. We further show that this condition is reduced to the vacuum condition of the W(p) algebra when the redundant variables for the p-reduction are eliminated. This mechanism also gives a prescription for extracting the W(p) algebra from the W1 + infinity algebra.
引用
收藏
页码:371 / 403
页数:33
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