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

Kasper Peeters (1) , P. Vanhove (1, 2) , Anders Westerberg (1)

1 CERN - European Organization for Nuclear Research
2 SPhT - Service de Physique Théorique

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Kasper Peeters, P. Vanhove, Anders Westerberg. Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace. Classical and Quantum Gravity, 2001, 18, pp.843. ⟨10.1088/0264-9381/18/5/307⟩. ⟨hal-00003612⟩