Twistor Interpretation of Harmonic Spheres and Yang–Mills Fields

Armen Sergeev
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Armen Sergeev: Steklov Mathematical Institute, Gubkina 8,119991, Moscow, Russia

Mathematics, 2015, vol. 3, issue 1, 1-29

Abstract: We consider the twistor descriptions of harmonic maps of the Riemann sphere into Kähler manifolds and Yang–Mills fields on four-dimensional Euclidean space. The motivation to study twistor interpretations of these objects comes from the harmonic spheres conjecture stating the existence of the bijective correspondence between based harmonic spheres in the loop space \(\Omega G\) of a compact Lie group \(G\) and the moduli space of Yang–Mills \(G\)-fields on \(\mathbb R^4\).

Keywords: harmonic spheres; Yang-Mills fields; twistors (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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