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Algebras in tensor categories and coset conformal field theories

✍ Scribed by J. Fröhlich; J. Fuchs; I. Runkel; C. Schweigert

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
112 KB
Volume
52
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

The coset construction is the most important tool to construct rational conformal field theories with known chiral data. For some cosets at small level, so‐called maverick cosets, the familiar analysis using selection and identification rules breaks down. Intriguingly, this phenomenon is linked to the existence of exceptional modular invariants. Recent progress in CFT, based on studying algebras in tensor categories, allows for a universal construction of the chiral data of coset theories which in particular also applies to maverick cosets.

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## Abstract The notion of __global conformal invariance__ (GCI) in Minkowski space allows to prove rationality of correlation functions and to extend the concept of vertex algebra to any number __D__ of space‐time dimensions. The case of even __D__, which includes a conformal stress‐energy tensor w