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A Mathematical Introduction to String Theory

Variational Problems, Geometric and Probabilistic Methods

A Mathematical Introduction to String Theory by Sergio Albeverio
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Classical string theory is concerned with the propagation of classical 1-dimensional curves 'strings', and the theory has connections to the calculus of variations, minimal surfaces and harmonic maps. The quantization of string theory gives rise to problems in different areas, according to the method used. The representation theory of Lie, Kac-Moody and Virasoro algebras have been used for such quantization. In this lecture note the authors give an introduction to certain global analytic and probabilistic aspects of string theory. It is their intention to bring together, and make explicit the necessary mathematical tools. Researchers with an interest in string theory, in either mathematics or theoretical physics, will find this a stimulating volume.
Cambridge University Press; July 1997
146 pages; ISBN 9781139243780
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Title: A Mathematical Introduction to String Theory
Author: Sergio Albeverio; Jurgen Jost; Sylvie Paycha; Sergio Scarlatti
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