Abstract
SO(3,1)-valued Yang-Mills fields are constructed on the four-dimensional manifold M4 = M2 × S2, where M2 is a semiinfinite strip. It is shown that these fields have action proportional to the winding number of S2 and the width of the strip and satisfy a self-duality relation of the form *F = −iγ5F. The Einstein tensor for the metric considered is found to be Gμν = 3gμν.
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