2000/10/31 by Kasper Peeters, Pierre Vanhove, Anders Westerberg · 10 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #D-term #Derivative (finance) #Effective action #F-term #Field (mathematics) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #String (physics) #String theory #Supergravity #Superspace #Supersymmetry #Supersymmetry algebra #Theoretical physics #Transformation (genetics) #hep-th
paper · pdf · doi:10.1088/0264-9381/18/5/307
published as Class.Quant.Grav. 18 (2001) 843-890 · 52 pages; v2: some references added, minor textual changes; v3: small corrections to appendix A and (3.35); v4: normalisation of (B.9) corrected, sign of "eps eps R^4" changed to conform with natural conventions
openalex publication_date 2001/02/16 · arxiv created 2003/08/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 11 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.