Rigid string instantons are pseudo-holomorphic curves

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.

18 pages,Latex

References in corpus (4)

• Topological Rigid String Theory and Two Dimensional QCD
• Toward QCD String: No Folds
• New rigid string instantons in $R^4$
• Immersions and folds in string theories of gauge fields

Cited by in corpus (3)

• String Holonomy and Extrinsic Geometry in Four-dimensional Topological Gauge Theory
• On rigid string instantons in four dimensions
• Weyl Invariant Gonihedric Strings