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Limits and degenerations of unitary conformal field theories

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UNSPECIFIED. (2004) Limits and degenerations of unitary conformal field theories. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 251 (3). pp. 589-643. ISSN 0010-3616

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Official URL: http://dx.doi.org/10.1007/s00220-004-1131-6

Abstract

In the present paper, degeneration phenomena in conformal field theories are studied. For this purpose, a notion of convergent sequences of CFTs is introduced. Properties of the resulting limit structure are used to associate geometric degenerations to degenerating sequences of CFTs, which, as familiar from large volume limits of nonlinear sigma models, can be regarded as commutative degenerations of the corresponding "quantum geometries". As an application, the large level limit of the A-series of unitary Virasoro minimal models is investigated in detail. In particular, its geometric interpretation is determined.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Publisher: SPRINGER
ISSN: 0010-3616
Date: November 2004
Volume: 251
Number: 3
Number of Pages: 55
Page Range: pp. 589-643
Identification Number: 10.1007/s00220-004-1131-6
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/7836

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