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S-dual amplitude and D3-brane couplings

Komeil Babaei Velni1,† and H Babaei-Aghbolagh2,*

  • 1Department of Physics, University of Guilan, P.O. Box 41335-1914, Rasht, Iran
  • 2Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran

  • *Corresponding author. h.babaei@uma.ac.ir
  • babaeivelni@guilan.ac.ir

Phys. Rev. D 99, 066007 – Published 15 March, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.066007

Abstract

Recently, it has been observed that the IIB scattering amplitudes are compatible with the standard rules of S-duality. Inspired by this observation, we will find the tree-level S-matrix elements of one Ramond-Ramond and three open strings by imposing this symmetry on the tree-level S-matrix elements of one Kalb-Ramond and three open strings. We also find a SL(2,R) invariant form of the D3-brane effective action containing four gauge fields with derivative corrections that was derived from one-loop level four-point amplitude. Using the expansion of the nonlinear SL(2,R) invariant structures, we find the action with derivative corrections at the level of more gauge fields.

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