Noncommutative string theory, the R-matrix, and Hopf algebras
نویسندگان
چکیده
منابع مشابه
Noncommutative String Theory, the R-Matrix, and Hopf Algebras
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 comm...
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Compacti cation of Matrix Model on a Noncommutative torus is obtained from strings ending on D-branes with background B eld. The BPS spectrum of the system and a novel SL(2; Z) symmetry are discussed. Noncommutativity of space-time coordinates emerged in string theory recently in the context of coincident Dbranes [1]; in fact the embedding coordinates of D-branes turned out to be noncommutative...
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Often A is called H-module algebra. We refer reader to [11, 6] for the basic information concerning Hopf algebras and their actions on associative algebras. Definition 1.2 The invariants of H in A is the set AH of those a ∈ A, that ha = ε(h)a for each h ∈ H. Straightforward computations show, that AH is subalgebra of A. The notion of action of Hopf algebra on associative algebra generalize the ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2000
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)01485-9