AFFINE EXTENSION OF SUPERSYMMETRIC FIELD THEORY

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Abstract
It is shown that there is no obstacle to the affine extension of supersymmetric Yang-Mills theories. This result holds equally for loop and Kac-Moody algebras. It also holds for 4, 6, and 10 dimensions. By dimensional reduction of the 10-dimensional theory one obtains a supersymmetric action describing interacting Kac-Moody fields in four dimensions.