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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. doi:10.1007/s00220-004-1131-6 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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | COMMUNICATIONS IN MATHEMATICAL PHYSICS | ||||
Publisher: | SPRINGER | ||||
ISSN: | 0010-3616 | ||||
Official Date: | November 2004 | ||||
Dates: |
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Volume: | 251 | ||||
Number: | 3 | ||||
Number of Pages: | 55 | ||||
Page Range: | pp. 589-643 | ||||
DOI: | 10.1007/s00220-004-1131-6 | ||||
Publication Status: | Published |
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