Factorization and generalized *-products

Abstract

The generalized *-products, or the ${\ast }_N$-products, appear both in the one-loop effective action of noncommutative Yang-Mills theories and in the coupling of a closed string to N open strings on a disk when the D-brane world-volume is noncommutative. Factorization of the string amplitudes provides a uniform understanding of the ${\ast }_N$-products and a hint to obtain a simple, explicit formula (in the momentum space) for arbitrary N in the non-Abelian case. Possible extension to a more general ${}_M{\ast }_N$-product in the M-loop context is discussed.

11 pages, 3 figures; v2. a reference added, typos corrected

References in corpus (1)

• Supergravity couplings to Noncommutative Branes, Open Wilson Lines and Generalised Star Products

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