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

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

2011-03-16

arxiv.org/abs/1103.3121v4

Phys.Lett.B701:465-470,2011

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 15 pages, v4: The S-dual form of the axion-dilaton couplings modified

Scientific paper

10.1016/j.physletb.2011.06.004

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 $O(\alpha'^2)$. 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 $O(\alpha'^2)$. We confirm the quadratic RR couplings in the DBI part with the disk-level scattering amplitude. Using the modular functions that appear in the curvature corrections, we then write the results in $SL(2,Z)$ invariant form.

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