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Derivatives and the Role of the Drinfel'd Twist in Noncommutative String Theory

2000/03/26 by Paul Watts, Watts, Paul
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0003234

10 pages in LaTeX, no figures, uses `amssymb.sty', new references added

arxiv created 2000/03/29 · arxiv updated 2009/11/30

Abstract

We consider the derivatives which appear in the context of noncommutative string theory. First, we identify the correct derivations to use when the underlying structure of the theory is a quasitriangular Hopf algebra. Then we show that this is a specific case of a more general structure utilising the Drinfel'd twist. We go on to present reasons as to why we feel that the low-energy effective action, when written in terms of the original commuting coordinates, should explicitly exhibit this twisting.

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