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

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.

arXiv comment10 pages in LaTeX, no figures, uses `amssymb.sty', new references added

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Cited by in corpus (6)

• Quantum Fields on the Groenewold-Moyal Plane
• Hopf Algebra Symmetry and String Theory
• Integrable Hopf twists, marginal deformations and generalised geometry
• Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
• Twist Quantization of String and Hopf Algebraic Symmetry
• Noncommutative Bundles and Instantons in Tehran