S-duality of tree-level S-matrix elements in D${}_3$-brane effective action

Abstract

Recently it has been speculated that the S-matrix elements on the world volume of D${}_3$-branes should satisfy the ward identity corresponding to the S-duality transformations. For a single brane and in the low energy limit, this indicates that in the abelian Dirac-Born-Indeld-Chern-Simons theory the combination of contact terms and tree-level massless poles in an $n$-point function should satisfy the S-duality. In this paper we examine in details the S-matrix element of three gauge bosons and one two-form and the S-matrix element of six gauge bosons in favor of the above proposal.

12 pages, Latex file, no figure; v2: the version appears in PRD

References in corpus (5)

• The D^4 R^4 term in type IIB string theory on T^2 and U-duality
• S-duality of D-brane action at order $O({\alpha }^{\prime 2})$
• The D^6 R^4 term in type IIB string theory on T^2 and U-duality
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• An off-shell D-brane action at order ${\alpha }^{\prime 2}$ in flat spacetime
• On SL(2;R) symmetry in nonlinear electrodynamics theories