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pro vyhledávání: '"Schieber, Gil"'
Autor:
Schieber, Gil
Cette thèse étudie la classification des théories conformes à 2d à l'aide de symétries quantiques de diagrammes. Les fonctions de partition d'un système conforme - l'invariante modulaire ou celles provenant de l'introduction de lignes de défa
Publikováno v:
SIGMA 6:099,2010
After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusion graphs that describe modules associated with the fusion category of
Externí odkaz:
http://arxiv.org/abs/1007.0721
Autor:
Coquereaux, Robert, Schieber, Gil
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications 5, 044 (2009) http://www.emis.de/journals/SIGMA/2009/044/
Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their associated modular invariants, we
Externí odkaz:
http://arxiv.org/abs/0805.4678
Autor:
Coquereaux, Robert, Schieber, Gil
Publikováno v:
J.Phys.Conf.Ser.103:012006,2008
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 g
Externí odkaz:
http://arxiv.org/abs/0710.1397
Autor:
Coquereaux, Robert, Schieber, Gil
After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provide tables of dimensions describing the semisimple and co-semisimple bl
Externí odkaz:
http://arxiv.org/abs/math-ph/0610073
Autor:
Isasi, E., Schieber, Gil
Publikováno v:
J.Phys.A40:6513-6538,2007
We start with a given modular invariant M of a two dimensional su(n)_k conformal field theory (CFT) and present a general method for solving the Ocneanu modular splitting equation and then determine, in a step-by-step explicit construction, 1) the ge
Externí odkaz:
http://arxiv.org/abs/math-ph/0609064
Autor:
Schieber, Gil
The partition functions of a 2D conformal system - the modular invariant one or the generalized ones, coming from the introduction of defect lines - are expressed in terms of a set of coefficients that have the particularity to form nimreps of certai
Externí odkaz:
http://arxiv.org/abs/math-ph/0411077
Autor:
Coquereaux, Robert, Schieber, Gil
Publikováno v:
J.Geom.Phys. 42 (2002) 216-258
For every ADE Dynkin diagram, we give a realization, in terms of usual fusion algebras (graph algebras), of the algebra of quantum symmetries described by the associated Ocneanu graph. We give explicitly, in each case, the list of the corresponding t
Externí odkaz:
http://arxiv.org/abs/hep-th/0107001
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