2D-Gravity in Non-Critical Strings: Discrete and Continuum Approaches (Lecture Notes in Physics Monographs) by E. Abdalla
Springer; 1 edition | May 27, 1994 | English | ISBN: 3540578056 | 319 pages | PDF | 12 MB
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.