Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.
Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
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abstract
Higher-derivative terms in the string and M-theory effective actions are strongly constrained by supersymmetry. Using a mixture of techniques, involving both string amplitude calculations and an analysis of supersymmetry requirements, we determine the supersymmetric completion of the R^4 action in eleven dimensions to second order in the fermions, in a form compact enough for explicit further calculations. Using these results, we obtain the modifications to the field transformation rules and determine the resulting field-dependent modifications to the coefficients in the supersymmetry algebra. We then make the link to the superspace formulation of the theory and discuss the mechanism by which higher-derivative interactions lead to modifications to the supertorsion constraints. For the particular interactions under discussion we find that no such modifications are induced.
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The emergence of inherently 9-dimensional one-loop effective action from T-duality
Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency with heterotic duality.