Classical string dynamics with non-trivial topology

Deck, Thomas

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URN: urn:nbn:de:bsz:180-madoc-16851
Document Type: Working paper
Year of publication: 1993
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 70G35 83E30 53C50 49H05 ,
Subject headings (SWD): Pseudo-Riemannscher Raum , Stringtheorie , Unendlichdimensionales System , Hamiltonsches System
Keywords (English): semi-Riemannian manifold , conformal symmetry , infinite dimensional Hamiltonian systems
Abstract: The possibility of branching processes for classical strings is investigated on the basis of the Nambu-Goto action. We parametrize the world sheet by a Riemann surface M and introduce a C∞-smooth, degenerate metric η on M. Well-known results about the conformal group are generalized to the case of (M, η). We provide a rigorous, infinite dimensional Hamiltonian setting for processes that change the topology of a string. Finally, the classical background for the theory of quantum strings as developed by Krichever and Novikov in 1987 is discussed within this classical framework.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

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