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Algebras in tensor categories and coset conformal field theories
Author(s) -
Fröhlich J.,
Fuchs J.,
Runkel I.,
Schweigert C.
Publication year - 2004
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310162
Subject(s) - coset , conformal map , pure mathematics , field (mathematics) , tensor (intrinsic definition) , conformal field theory , construct (python library) , algebra over a field , mathematics , modular design , theoretical physics , computer science , physics , discrete mathematics , geometry , programming language , operating system
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.