Self-Duality in 3+3 Dimensions and the KP Equation
classification
✦ hep-th
keywords
self-dualityconditionsdimensionsequationfieldsarbitraryconsiderdimension
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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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