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Article Dans Une Revue Journal of Physics: Conference Series Année : 2008

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

Résumé

We 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)).
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Dates et versions

hal-00177273 , version 1 (06-10-2007)
hal-00177273 , version 2 (11-10-2007)
hal-00177273 , version 3 (17-12-2007)

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Robert Coquereaux, Gil Schieber. From conformal embeddings to quantum symmetries: an exceptional SU(4) example. Journal of Physics: Conference Series, 2008, 103, pp.012006. ⟨hal-00177273v3⟩
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