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Algebras in tensor categories and coset conformal field theories

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arxiv hep-th/0309269 v1 pith:E7RBWE2B submitted 2003-09-30 hep-th

J"urg Fr"ohlich , J"urgen Fuchs , Ingo Runkel , Christoph Schweigert This is my paper · ORCID
classification hep-th
keywords cosetcosetstheoriesalgebrascategorieschiralconformalconstruction
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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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    Detection of an isolated SU(2)_L n-plet with n≥5 would falsify known string constructions; current LHC limits exclude such states up to 400-735 GeV depending on n.

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