Tree-level S-matrix elements from S-duality

Abstract

It has been speculated that the S-matrix elements of type IIB superstring theory satisfy the Ward identity associated with the S-duality. This indicates that a group of S-matrix elements at each loop level are invariant under the linear $SL(2,R)$ transformations. If one evaluates one element of such S-dual multiplet, then all other components can be found by the simple use of the linear $SL(2,R)$ transformations. In this paper, we calculate the disk-level S-matrix element of one graviton(dilaton), one B-field and one gauge boson on the word volume of D${}_3$-brane. The S-dual multiplet corresponding to the graviton(dilaton) amplitude has three(six) components. In particular, the graviton multiplet has the S-matrix element of one graviton, one R-R two-form and one gauge boson, and the dilaton multiplet has the S-matrix element of one R-R scalar, one B-field and one gauge boson vertex operators. We calculate explicitly these particular components and show that they are precisely the ones predicted by the S-duality. We have also found the low energy contact terms of the dilaton multiplet at order ${\alpha }^{\prime 2}$.

28 pages, latex file, no figure, v2: references and some more calculations added, the version appears in JHEP

References in corpus (7)

• More on WZ action of non-BPS branes
• S-duality of D-brane action at order $O({\alpha }^{\prime 2})$
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• Four-Derivative Brane Couplings from String Amplitudes
• Higher Loop Spin Field Correlators in Various Dimensions
• S-duality of S-matrix

Cited by in corpus (10)

• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• Duality constraints on effective actions
• T-duality of the Riemann curvature corrections to supergravity
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• S-dual Amplitude and D3-Brane Couplings
• S-duality constraint on higher-derivative couplings
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• Light cone quantization and interactions of a new closed bosonic string inspired to D1 string
• S-matrix element of two R-R and one NS states