Quasi-quantum groups from strings
نویسنده
چکیده
Motivated by string theory on the orbifold M/G in presence of a Kalb-Ramond field strength H , we define the operators that lift the group action to the twisted sectors. These operators turn out to generate the quasi-quantum group Dω[G], introduced in the context of conformal field theory by R. Dijkgraaf, V. Pasquier and P. Roche [1], with ω a 3-cocycle determined by a series of cohomological equations in a tricomplex combining de Rham, C̆ech and group cohomologies. We further illustrate some properties of the quasi-quantum group from a string theoretical point of view. This work is based on [2], from which a full-fledged treatment may be extracted. June 2007 CPT-P31-2007 1 Unité Mixe de Recherche (UMR) 6207 du CNRS et des Universités Aix-Marseille 1 et 2 Sud Toulon-Var, Laboratoire affilié à la FRUMAM (FR 2291) 2 [email protected] 3 and University Kiel, Germany 4 [email protected]
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