Quasi-quantum groups from strings

Details Quasi-quantum groups from strings Quasi-quantum groups from strings

2007-07-05

arxiv.org/abs/0707.0757v1

J.Phys.Conf.Ser.103:012005,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 8 figures, talk given at the conference "Noncommutative Geometry and Physics", Orsay April 2007

Scientific paper

10.1088/1742-6596/103/1/012005

Motivated by string theory on the orbifold ${\cal M}/G$ 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 $D_{\omega}[G]$, introduced in the context of conformal field theory by R. Dijkgraaf, V. Pasquier and P. Roche, with $\omega$ a 3-cocycle determined by a series of cohomological equations in a tricomplex combining de Rham, \u{C}ech and group cohomologies. We further illustrate some properties of the quasi-quantum group from a string theoretical point of view.

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