Classical string dynamics with non-trivial topology

Deck, Thomas

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URL:	https://ub-madoc.bib.uni-mannheim.de/1685
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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