Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-14
JHEP0809:124,2008
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, LaTeX
Scientific paper
10.1088/1126-6708/2008/09/124
We consider higher derivative corrections of the type D^{2k} R^2 in the effective action of the D3-brane with trivial normal bundle. Based on the perturbative disc and annulus amplitudes, and constraints of supersymmetry and duality, we argue that these interactions are protected, at least for small values of k. Their coefficient functions receive only a finite number of perturbative contributions, and non-perturbative contributions from D-instantons. We propose expressions for these modular forms for low values of k.
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