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Journal Articles Journal of Physics: Conference Series Year : 2008

Quasi-quantum groups from strings

Abstract

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.

Dates and versions

hal-00166918 , version 1 (12-08-2007)

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Cite

J. -H. Jureit, Thomas Krajewski. Quasi-quantum groups from strings. Journal of Physics: Conference Series, 2008, 103, pp.012005. ⟨hal-00166918⟩
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