On S-duality of D${}_3$-brane S-matrix

Abstract

There is a conjecture in the literature that indicates the tree-level S-matrix elements of graviton become symmetric under the $SL(2,Z)$ transformation after including the loops and the nonperturbative effects. Using the Ward identity corresponding to the global S-duality transformations, this conjecture can be extended to other S-matrix elements as well. While the $SL(2,Z)$ transformation on the background dilaton is nonlinear, the Ward identity dictates the S-duality transformations on external states should be the linearized $SL(2,R)$ transformations. We examine in details various S-matrix elements involving massless closed string and/or open string vertex operators on the world volume of D${}_3$-brane in favor of this conjecture.

17 pages, Latex file, no figures, the version appears in PRD

References in corpus (4)

• The D^4 R^4 term in type IIB string theory on T^2 and U-duality
• T-duality of anomalous Chern-Simons couplings
• The D^6 R^4 term in type IIB string theory on T^2 and U-duality
• S-duality of S-matrix

Cited by in corpus (13)

• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Photonic processes in Born-Infeld theory
• 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
• S-duality of tree-level S-matrix elements in D${}_3$-brane effective action
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• S-dual Amplitude and D3-Brane Couplings
• S-duality of color-ordered amplitudes
• An off-shell D-brane action at order ${\alpha }^{\prime 2}$ in flat spacetime
• S-duality constraint on higher-derivative couplings
• Light cone quantization and interactions of a new closed bosonic string inspired to D1 string
• On SL(2;R) symmetry in nonlinear electrodynamics theories