Off-Shell Formulation of Simple Supersymmetric Yang-Mills

Details Off-Shell Formulation of Simple Supersymmetric Yang-Mills Off-Shell Formulation of Simple Supersymmetric Yang-Mills

2000-02-14

arxiv.org/abs/hep-th/0002115v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 15 pages

Scientific paper

An off-shell formulation for 6 and 10 dimensions simple supersymmetric Yang-Mills theories is presented. While the fermionic fields couple to left action of S^3 and S^7 respectively, the auxiliary ones couple to right action (and vice versa). To close the algebra off-shell, left and right actions must commute. For 6 dimensions quaternions work fine. The 10 dimensional case needs special care. Pure spinors and soft Lie algebra (algebra with structure functions instead of structure constants) are essential. Some tools useful for constructing the superspace are also derived. We show how to relate our results to the early works of Evans and Berkovits.

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