Schwinger terms from geometric quantization of field theories

Ewen, Holger ; Schaller, Peter ; Schwarz, Günter

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URN: urn:nbn:de:bsz:180-madoc-19927
Document Type: Working paper
Year of publication: 1990
The title of a journal, publication series: None
Place of publication: Mannheim
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
Subject headings (SWD): Kähler-Mannigfaltigkeit , Kac-Moody-Algebra , Virasoro-Algebra
Abstract: Geometric quantization is applied to infinite (countable) dimensional linear Kähler manifolds to obtain a closed expression for the anomalous commutator of arbitrary polynomial observables. Examples for the physical relevance of the result are given, including the polarization dependence of Schwinger terms in bilinear constraint algebras, the central terms of Virasoro and Kac-Moody algebras and the determination of the critical dimension of the bosonic string.
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