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

Paul Watts
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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.

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Paul Watts. 1999-11-04. Noncommutative String Theory, the R-Matrix, and Hopf Algebras. https://doi.org/10.1016/s0370-2693(99)01485-9

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