SYMMETRIES IN NONPERTURBATIVE 2-D QUANTUM-GRAVITY

被引:12
|
作者
LA, HO
机构
关键词
D O I
10.1142/S0217732391000592
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Based on the Korteweg-de Vries (KdV) hierarchy formulation of non-perturbative 2-d quantum gravity, we investigate the symmetries of the system. Particularly, it is shown that the recently found Virasoro constraints are due to the non-isopectral symmetries of KdV hierarchy, which can be interpreted as SL(2, C) invariance and the independence of the moduli of the auxiliary infinite genus hyperelliptic Riemann surfaces which appear in the Krichever construction of soliton solutions.
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页码:573 / 580
页数:8
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