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Supersymmetric Yang-Mills equations in $10+2$ dimensions. (English) Zbl 1017.81514
Summary: We present a model for supersymmetric Yang-Mills theory in $10+2$ dimensions. Our construction uses a constant null vector, and leads to a consistent set of field equations and constraints. The model is invariant under generalized translations and an extra gauge transformation. Ordinary dimensional reduction to ten dimensions yields the usual supersymmetric Yang-Mills equations, while dimensional reduction to $2+2$ yields supersymmetric Yang-Mills equations in which the Poincaré supersymmetry is reduced by a null vector. We also give the corresponding formulation in superspace.

81T60Supersymmetric field theories
81T13Yang-Mills and other gauge theories
Full Text: DOI
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