S-duality of color-ordered amplitudes

Abstract

Recently, it has been proposed that the S-matrix elements on the world volume of an abelian D${}_3$-brane are consistent with the Ward identity associated with the S-duality. In this paper we extend this study to the case of multiple D${}_3$-branes. We speculate that the S-matrix elements are consistent with the S-dual Ward identity irrespective of the ordering of the external states. Imposing this symmetry on the particular case of the S-matrix element of one Kalb-Ramond, one transverse scalar and two nonabelian gauge bosons, we will find the linear S-duality transformation of the commutator of two nonabelian gauge field strengths. Using this transformation and the standard S-duality transformations of the supergravity fields, all other nonabelian S-matrix elements of one closed and three open string states can be found by the S-duality proposal. We will show that the predicted S-matrix elements are reproduced exactly by explicit calculations.

20 pages, latex file, no figure, v3: The study of nonabelian S-matrix element of one closed and three open strings has been added in favor of the S-duality proposal,v4:the title is changed, the version appears in npb

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Cited by in corpus (7)

• Duality constraints on effective actions
• T-duality of the Riemann curvature corrections to supergravity
• S-matrix elements from T-duality
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• S-dual Amplitude and D3-Brane Couplings
• S-duality constraint on higher-derivative couplings