On rigid string instantons in four dimensions

Abstract

Generalized Weierstrass formulae for surfaces in four-dimensional space ${\mathbb{R}}^4$ are used to study (anti)self-dual rigid string configurations. It is shown that such configurations are given by superminimal immersions into ${\mathbb{R}}^4$. Explicit formulae for generic (anti)instantons are presented. Particular classes of surfaces are also analyzed.

Latex, 7 pages

References in corpus (6)

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• New rigid string instantons in $R^4$
• Rigid string instantons are pseudo-holomorphic curves
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Cited by in corpus (2)

• Spinor Fields on the Surface of Revolution and their Integrable Deformations via the mKdV-Hierarchy
• The Image of Self Intersecting QCD Strings in Four Dimensions