Self-Duality in 3+3 Dimensions and the KP Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Plain Tex, 12 pages, UR-1259, ER-40685-711, CTP TAMU-31/92

Scientific paper

10.1016/0370-2693(92)91230-7

We consider two types of generalized self-duality conditions for Yang-Mills
fields on paracomplex manifolds of arbitrary dimension. We then specialize to
$3+3$ dimensions and show how one can obtain the KP equation from these
self-duality conditions on $SL(2,R)$ valued gauge fields.

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