A Mathematical Introduction to String Theory : Variational Problems, Geometric and Probabilistic Methods / Sergio Albeverio, Jurgen Jost, Sylvie Paycha, Sergio Scarlatti.

By: Albeverio, Sergio [author.]Contributor(s): Jost, Jurgen [author.] | Paycha, Sylvie [author.] | Scarlatti, Sergio [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 225Publisher: Cambridge : Cambridge University Press, 1997Description: 1 online resource (144 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511600791 (ebook)Subject(s): Mathematical physicsAdditional physical formats: Print version: : No titleDDC classification: 539.7/2 LOC classification: QC794.6.S85 | M38 1997Online resources: Click here to access online Summary: 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.
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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.

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