SU(N) LIE-ALGEBRA, EXTENDED TODA LATTICE EQUATION AND THE EXACT-SOLUTIONS

被引:0
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作者
CHOWDHURY, AR
CHOUDHURY, AG
机构
关键词
D O I
10.1142/S0217732394003750
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
An integro-differential generalization of the Toda lattice equation is proposed via the zero curvature equation belonging to SU(N) Lie algebra. It is shown that the exact solutions for this equation can be constructed by the method of chiral vectors. Explicit results are given for SU(2) and SU(3). We also demonstrate that these equations are connected to the constrained WZW theory and hence Polyakov's two-dimensional gravity.
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页码:525 / 534
页数:10
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