Noncommutative String Theory, the R-Matrix, and Hopf Algebras

Abstract

Motivated by the form of the noncommutative *-product in a system of open strings and Dp-branes with constant nonzero Neveu-Schwarz 2-form, we define a deformed multiplication operation on a quasitriangular Hopf algebra in terms of its R-matrix, and comment on some of its properties. We show that the noncommutative string theory *-product is a particular example of this multiplication, and comment on other possible Hopf algebraic properties which may underlie the theory.

14 pages using LaTeX, uses amssymb.sty

References in corpus (1)

• On noncommutative and commutative equivalence for BFYM theory : : Seiberg-Witten map

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