Publication : t00/116

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Peeters K. (Theory Division, European Organization for Nuclear Research, CERN, CH-1211 Genève 23, Switzerland (Suisse))
Vanhove P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Westerberg A. (NORDITA Blegdamsvej 17, DK-2100 Copenhagen, DENMARK)
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 modification 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.
Année de publication : 2001
Revue : Class. Quantum Grav. 18 843-889 (2001)
Preprint : arXiv:hep-th/0010167
Numéro Exterieur : DAMTP-2000-82 ; NORDITA-2000/72-HE
Langue : Anglais


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