1990 ◽  
Vol 41 (2) ◽  
pp. 472-477 ◽  
Author(s):  
Yu-liang Liu ◽  
Su-qing Chen ◽  
Guang-jiong Ni


1993 ◽  
Vol 32 (11) ◽  
pp. 2161-2172
Author(s):  
Bang-qing Xu ◽  
Dian-yan Xu ◽  
Chang-giu Chao




1971 ◽  
Vol 32 (C1) ◽  
pp. C1-1090-C1-1095 ◽  
Author(s):  
R. E. de WAMES ◽  
T. WOLFRAM


1991 ◽  
Vol 06 (33) ◽  
pp. 3079-3090 ◽  
Author(s):  
A. GERASIMOV ◽  
YU. MAKEENKO ◽  
A. MARSHAKOV ◽  
A. MIRONOV ◽  
A. MOROZOV ◽  
...  

Matrix models are equivalent to certain integrable theories, partition functions being equal to certain τ-functions, i.e., the section of determinant bundles over infinite-dimensional Grassmannian. These τ-functions are evaluated at the points of Grassmannian, where high symmetry arises. In the case of one-matrix models the symmetry is isomorphic to Borel subgroup of a Virasoro group. The orbits of the group are in one-to-one correspondence with the types of "multicritical" behavior in the continuum limit. Interrelation between τ-functions in different models and their continuum limit is discussed in some details. We also discuss the implications for dynamical interpolation between various string models (CFT's), to be described in terms of geometrical quantization of Fairlie-like [Formula: see text]-algebras.





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