Jacek Pawe\l czyk
Rigid String Instantons are Pseudo-holomorphic Curves
The paper is published: Nuclear Phys. B 491, No. 3 (1997) 515-528

MSC:

58D10 Spaces of imbeddings and immersions

32L25 Twistor theory, double fibrations

58Z05 Applications to physics

81R25 Spinor and twistor methods, See also {32L25}

81T13 Yang-Mills and other gauge theories, See also {53C07,

Abstract: 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.