Kasper Peeters et al 2001 Class. Quantum Grav. 18 843 doi:10.1088/0264-9381/18/5/307
Kasper Peeters1, Pierre Vanhove2 and Anders Westerberg3
Show affiliationsHigher-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 R4 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.
11.10.Kk Field theories in dimensions other than four
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
Issue 5 (7 March 2001)
Received 14 November 2000
Kasper Peeters et al 2001 Class. Quantum Grav. 18 843
K Tennakone and W G D Dharmaratna 1983 J. Phys. D: Appl. Phys. 16 855
T Kennedy 1990 J. Phys.: Condens. Matter 2 5737
1958 Proc. Phys. Soc. 71 284
Kuen-Cheng Ju et al 2003 Phys. Med. Biol. 48 167
Z Jiang 2008 Metrologia 45 S6
R Felder 2005 Metrologia 42 323
Chris King and Peter Kennett 2002 Phys. Educ. 37 467
R S Davis 1992 Metrologia 29 67
Wolfgang J Parak et al 2005 Nanotechnology 16 R9