S-duality of D-brane action at order $O({\alpha }^{\prime 2})$

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 $O({\alpha }^{\prime 2})$. 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 $O({\alpha }^{\prime 2})$. 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.

Latex file, 14 pages, v5: A mistake in the dilaton factor of the Chern-Simons couplings is corrected. As a result, there is only one modular function in all D${}_3$-brane couplings

References in corpus (4)

• Higher Derivative Brane Couplings from T-Duality
• Ramond-Ramond field strength couplings on D-branes
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• T-duality of anomalous Chern-Simons couplings

Cited by in corpus (26)

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