UNITARY MATRIX MODELS AND 2D QUANTUM-GRAVITY

被引:43
作者
DALLEY, S
JOHNSON, CV
MORRIS, TR
WATTERSTAM, A
机构
关键词
D O I
10.1142/S0217732392002226
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system - open-dosed string theory. Non-perturbative solutions of the multicritical unitary matrix models map to non-singular solutions of the 'renormalization group' equation for the string susceptibility, [P, Q] = Q. We also demonstrate that the large-N solutions of unitary matrix integrals in external fields, studied by Gross and Newman, equal the non-singular pure closed-string solutions of [P, Q] = Q.
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页码:2753 / 2762
页数:10
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