Rigid string instantons are pseudo-holomorphic curves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages,Latex

Scientific paper

10.1016/S0550-3213(97)00049-7

We show how to find explicit expressions for rigid string instantons for
general 4-manifold $M$. It appears that they are pseudo-holomorphic curves in
the twistor space of $M$. We present explicit formulae for $M=R^4, S^4$. We
discuss their properties and speculate on relations to topology of 4-manifolds
and the theory of Yang-Mills fields.

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