S-duality of D-brane action at order $O(α'^2)$

Mohammad R. Garousi

doi:10.1016/j.physletb.2011.06.004

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arXiv · 1103.3121

S-duality of D-brane action at order $O(α'^2)$

Mohammad R. Garousi

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Abstract

Using the compatibility of the DBI and the Chern-Simons actions with the T-duality transformations, the curvature corrections to these actions have been recently extended to include the quadratic B-field couplings at order $O(α'^2)$. In this paper, we use the compatibility of the couplings on D$_3$-brane with the S-duality to find the nonlinear RR couplings at order $O(α'^2)$. We confirm the quadratic RR couplings in the DBI part with the disk-level scattering amplitude. Using the regularized non-holomorphic Eisenstein series $E_1$, we then write the results in $SL(2,Z)$ invariant form.

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Mohammad R. Garousi. 2013-12-25. S-duality of D-brane action at order $O(α'^2)$. https://doi.org/10.1016/j.physletb.2011.06.004

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