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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages using LaTeX, uses amssymb.sty

Scientific paper

10.1016/S0370-2693(99)01485-9

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.

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