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| Detailed view | Article in peer-reviewed journal |
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| Journal of physics : conference series 103 (2008) 012006 |
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| Available versions: | v1 (2007-10-07) | v2 (2007-10-11) | v3 (2007-12-17) |
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| From conformal embeddings to quantum symmetries: an exceptional SU(4) example |
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| Robert Coquereaux1Gil Schieber1, 2 |
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| 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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| 1: | CPT - Centre de Physique Théorique |
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| 2: | CBPF - Centro Brasileiro de Pesquisas Fisicas |
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| quantum groupoids – quantum symmetries – modular invariance – conformal field theories. |
| hal-00177273, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00177273 | |
| oai:hal.archives-ouvertes.fr:hal-00177273 | |
| From: Robert Coquereaux | |
| Submitted on: Monday, 17 December 2007 12:15:31 | |
| Updated on: Monday, 9 June 2008 15:46:20 | |
