QUANTUM RIEMANN SURFACES, 2-D GRAVITY AND THE GEOMETRICAL ORIGIN OF MINIMAL MODELS

被引:14
|
作者
MATONE, M
机构
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D O I
10.1142/S0217732394002719
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Based on a recent paper by Takhtajan, we propose a formulation of 2-D quantum gravity whose basic object is the Liouville action on the Riemann sphere Sigma(0,m+n) with both parabolic and elliptic points. The identification of the classical limit of the conformal Ward identity with the Fuchsian projective connection on Sigma(0,m+n) implies a relation between conformal weights and ramification indices. This formulation works for arbitrary d and admits a standard representation only for d less than or equal to 1. Furthermore, it turns out that the integerness of the ramification number constrains d = 1 - 24/(n(2) - 1) that for n = 2m + 1 coincides with the unitary minimal series of CFT.
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页码:2871 / 2878
页数:8
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