Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-26
JHEP 0107:042,2001
Physics
High Energy Physics
High Energy Physics - Theory
19 pp., plain tex
Scientific paper
10.1088/1126-6708/2001/07/042
Using superspace techniques, the complete and most general action of D=10 super-Yang--Mills theory is constructed at the alpha'^2 level. No other approximations, e.g., keeping only a subset of the allowed derivative terms, are used. The Lorentz structure of the alpha'^2 corrections is completely determined, while (depending on the gauge group) there is some freedom in the adjoint structure, which is given by a totally symmetric four-index tensor. We examine the second, non-linearly realised supersymmetry that may be present when the gauge group has a U(1) factor, and find that the constraints from linear and non-linear supersymmetry to a large extent coincide. However, the additional restrictions on the adjoint structure of the order alpha'^2 interactions following from the requirement of non-linear supersymmetry do not completely specify the symmetrised trace prescription.
Cederwall Martin
Nilsson Bengt E. W.
Tsimpis Dimitrios
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