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Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace

Kasper Peeters·Pierre Vanhove·Anders Westerberg
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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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Kasper Peeters, Pierre Vanhove, Anders Westerberg. 2003-08-14. Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace. https://doi.org/10.1088/0264-9381%2F18%2F5%2F307

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