Decoding the geometry of conformal field theories

  • To certain geometries, string theory associates conformal field theories. We discuss techniques to perform the reverse procedure: To recover geometrical data from abstractly defined conformal field theories. This is done by introducing appropriate notions of limits of conformal field theories and their degenerations, and by applying techniques from noncommutative geometry. This note is a summary of our work, aimed to be less technical than the original paper, along with some new calculations confirming our interpretation of the rescaled limiting zero mode of the Virasoro field.

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Metadaten
Author:Daniel Roggenkamp, Katrin WendlandGND
URN:urn:nbn:de:bvb:384-opus4-5349
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/674
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2008-21)
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2008/05/05
GND-Keyword:Konforme Feldtheorie; Nichtkommutative Geometrie
Source:http://arxiv.org/abs/0803.0657
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik