S-dual Amplitude and D3-Brane Couplings

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

arXiv comment18 pages

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Cited by in corpus (6)

• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Curvature corrections to KPV: Do we need deep throats?
• Effective observables for electromagnetic duality from novel amplitude decomposition
• Heat kernel approach to the one-loop effective action for nonlinear electrodynamics