Super self-duality for Yang-Mills fields in dimensions greater than four

Details Super self-duality for Yang-Mills fields in dimensions greater than four Super self-duality for Yang-Mills fields in dimensions greater than four

2001-09-08

arxiv.org/abs/hep-th/0109072v1

JHEP 0112 (2001) 020

Physics

High Energy Physics

High Energy Physics - Theory

51 pages, latex

Scientific paper

10.1088/1126-6708/2001/12/020

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge fields, the super self-duality equations are investigated, namely, systems of linear algebraic relations on the components of the supercurvature, which imply the self-duality equations on the even part of superspace. A group theory based algorithm for finding such systems is developed. Representative examples in various dimensions are provided, including the Spin(7) and G(2) invariant systems in d=8 and 7, respectively.

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