A Mathematical Introduction to String Theory
Variational Problems, Geometric and Probabilistic Methods
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Mathematical Introduction to String Theory by Sergio Albeverio
Book DescriptionClassical 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.
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Book DetailsISBN: 9780521556101
(228mm x 152mm x 9mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 17-Jul-1997
Country of Publication: United Kingdom
Books By Author Sergio Albeverio
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Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Paperback (January 2009)
Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." - Bulletin of the American Mathematical Society. 1986 edition.
Mathematical Theory of Feynman Path Integrals, Paperback (May 2008)
Ideas based on Feynman path integrals have played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. This edition is based on the two first authors' mathematical approach of this theory presented in the 1st edition.
Singular Perturbations of Differential Operators, Paperback (March 2000)» View all books by Sergio Albeverio
This is a systematic mathematical study of differential (and more general self-adjoint) operators.
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