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SO(3,1)-valued Yang-Mills fields

Dundarer, AR
SO(3,1)-valued Yang-Mills fields are constructed on the four-dimensional manifold M-4 = M-2 X S-2, where M-2 is a semiinfinite strip. It is shown that these fields have action proportional to the winding number of S-2 and the width of the strip and satisfy a self-duality relation of the form *F = -i gamma F-5. The Einstein tenser for the metric considered is found to be G(mu,nu) = 3g(mu,nu).