From conformal embeddings to quantum symmetries: an exceptional SU(4) example

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dc.creatorCoquereaux, Robert
dc.creatorSchieber, Gil
dc.date2007-10-07
dc.date2007-12-17
dc.date.accessioned2026-07-07T11:19:49Z
dc.date.available2026-07-07T11:19:49Z
dc.descriptionWe briefly discuss several algebraic tools that are used to describe the quantum symmetries of Boundary Conformal Field Theories on a torus. The starting point is a fusion category, together with an action on another category described by a quantum graph. For known examples, the corresponding modular invariant partition function, which is sometimes associated with a conformal embedding, provides enough information to recover the whole structure. We illustrate these notions with the example of the conformal embedding of SU(4) at level 4 into Spin(15) at level 1, leading to the exceptional quantum graph E4(SU(4)).
dc.description22 pages, 3 color figures. Version 2: We changed the color of figures (ps files) in such a way that they are still understood when converted to gray levels. Version 3: Several references have been added
dc.identifierhttps://arxiv.org/abs/0710.1397
dc.identifierhttp://arxiv.org/abs/0710.1397
dc.identifierJ.Phys.Conf.Ser.103:012006,2008
dc.identifierdoi:10.1088/1742-6596/103/1/012006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193816
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleFrom conformal embeddings to quantum symmetries: an exceptional SU(4) example
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