Lecture notes in physics., New series m,, Monographs ;, m20.
CONTENTS NOTE
Text of Note
Correlation Functions in the Bosonic Theory (Continuum Approach for Spherical Topology) --; Hermitian Matrix Model --; Conformal Basis for Scaling Operators --; Correlation Functions for the N=1 Super Liouville Theory --; N=1 Super Eigenvalue Model --; Correlation Functions in N=2 Super Liouville Theory --; Final Remarks and Outlook.
SUMMARY OR ABSTRACT
Text of Note
This book contains a survey of the use of the Liouville (and super-Liouville) equation in (super)string theory outside the critical dimension, and of the complementary approach based on the discretized space-time, known as the matrix model approach. Supersymmetry is given particular attention, both in the continuum formulation, by means of the Liouville equation, and through the consideration of the super-eigenvalue problem. The methods presented here are important in a large number of complex problems, e.g. random surfaces, 2-D gravity and large-N quantum chromodynamics. The comparison of different methods in the study of such problems permits a cross-evaluation of the results when both methods are applicable and new predictions when only one of the methods may be used.