Ramond-Ramond S-matrix elements from T-dual Ward identity

Abstract

Recently it has been speculated that the Ward identities associated with the string dualities and the gauge symmetries can be used as guiding principles to find all components of the scattering amplitude of $n$ supergravitons from a given component of the S-matrix. In this paper, we apply the Ward identities associated with the T-duality and the gauge symmetries on the disk-level S-matrix element of one RR $(p-3)$-form, one NSNS and one NS states, to find the corresponding S-matrix elements of the RR $(p-1)$-form, $(p+1)$-form or the RR$(p+3)$-form on the world volume of a D${}_p$-brane. Moreover, we apply these Ward identities on the S-matrix element of one RR $(p-3)$-form and two NSNS states to find the corresponding S-matrix elements of the RR $(p-1)$-form, $(p+1)$-form, $(p+3)$-form or the RR $(p+5)$-form.

40 pages, Latex file, no figure

References in corpus (7)

• Higher Derivative Brane Couplings from T-Duality
• Duality completion of higher derivative corrections
• Ramond-Ramond field strength couplings on D-branes
• T-duality of anomalous Chern-Simons couplings
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• T-duality of D-brane action at order ${\alpha }^{\prime }$ in bosonic string theory
• S-duality constraint on higher-derivative couplings

Cited by in corpus (8)

• Duality constraints on effective actions
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action
• Three-Point Disc Amplitudes in the RNS Formalism
• T-dual RR couplings on D-branes from S-matrix elements
• On Chern-Simons Couplings at order $O({\alpha }^{\prime 2})$
• S-matrix element of two R-R and one NS states