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arXiv · hep-th/0104236

D=10 Super-Yang-Mills at O(alpha'^2)

Martin Cederwall·Bengt E. W. Nilsson·Dimitrios Tsimpis
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Abstract

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.

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Martin Cederwall, Bengt E. W. Nilsson, Dimitrios Tsimpis. 2001-04-26. D=10 Super-Yang-Mills at O(alpha'^2). https://doi.org/10.1088/1126-6708%2F2001%2F07%2F042

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