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

Peeters, Kasper; Vanhove, Pierre; Westerberg, Anders

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

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

Oct, 2000

52 pages

Published in:

Class.Quant.Grav. 18 (2001) 843-890

e-Print:

hep-th/0010167 [hep-th]

DOI:

10.1088/0264-9381/18/5/307

Report number:

DAMTP-2000-82,
NORDITA-2000-72-HE,
SACLAY-SPH-T-00-116,
SPHT-T00-116

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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 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.

M-theory
string model
supersymmetry: algebra
supersymmetry: superspace
supersymmetry: representation
field theory: action
dimension: 10
dimension: 11
derivative: high
bibliography

References(81)

Figures(0)

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