T-dual RR couplings on D-branes from S-matrix elements

Abstract

Using the linear T-dual ward identity associated with the NSNS gauge transformations, some RR couplings on D${}_p$-branes have been found at order $O({\alpha }^{\prime 2})$. We examine the $C^{(p-1)}$ couplings with the S-matrix elements of one RR, one graviton and one antisymmetric B-field vertex operators. We find the consistency of T-dual S-matrix elements and explicit results of scattering string amplitude and show that the string amplitude reproduces these couplings as well as some other couplings. This illustration is found for $C^{(p-3)}$ couplings in the literature which is extended to the $C^{(p-1)}$ couplings in this paper.

23 pages. V2: it appears in PRD

References in corpus (5)

• T-duality and ${\alpha }^{\prime }$-corrections
• Heterotic Effective Action and Duality Symmetries Revisited
• Higher Derivative Brane Couplings from T-Duality
• Ramond-Ramond field strength couplings on D-branes
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$

Cited by in corpus (2)

• S-dual Amplitude and D3-Brane Couplings
• On Chern-Simons Couplings at order $O({\alpha }^{\prime 2})$