Constraining the D3-brane effective action

Abstract

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.

22 pages, LaTeX

References in corpus (5)

• Duality and higher derivative terms in M theory
• The low energy expansion of the one-loop type II superstring amplitude
• Derivative corrections to D-brane actions with constant background fields
• New Higher-Derivative $R^4$ Theorems
• The D^4 R^4 term in type IIB string theory on T^2 and U-duality

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• Low momentum expansion of one loop amplitudes in heterotic string theory
• S-duality of tree-level S-matrix elements in D${}_3$-brane effective action
• Tree-level S-matrix elements from S-duality
• S-duality of color-ordered amplitudes