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

Author

Kasper Peeters 1, Pierre Vanhove 2 and Anders Westerberg 3

Affiliations

1 CERN, TH-division, 1211 Geneva 23, Switzerland
2 SPT, Orme des Merisiers, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France
3 NORDITA , Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark

E-mail

k.peeters@damtp.cam.ac.uk p.vanhove@damtp.cam.ac.uk a.westerberg@nordita.dk

Journal

Classical and Quantum Gravity Create an alert RSS this journal

Issue

Volume 18, Number 5

Citation

Kasper Peeters et al 2001 Class. Quantum Grav. 18 843

doi: 10.1088/0264-9381/18/5/307


 
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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 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.

 
PACS

11.30.Pb Supersymmetry

11.10.Kk Field theories in dimensions other than four

02.10.-v Logic, set theory, and algebra

04.65.+e Supergravity

11.25.Yb M theory

MSC

17A70 Superalgebras

83E50 Supergravity

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 5 (7 March 2001)

Received 14 November 2000



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