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On the Moduli Space of Yang–Mills Fields on \( \mathbb{R}^4 \)

  • Armen Sergeev
Part of the Trends in Mathematics book series (TM)

Abstract

We consider the problem of description of the structure of the moduli space of Yang–Mills fields on \( \mathbb{R}^4 \) with gauge group G. According to harmonic spheres conjecture, this moduli space should be closely related to the space of harmonic spheres in the loop space ΩG. Since the structure of the latter space is much better understood, the proof of conjecture will help to clarify the structure of the moduli space of Yang–Mills fields. We propose an idea how to prove the harmonic spheres conjecture using the twistor methods.

Keywords

Yang–Mills field harmonic sphere twistor method loop space 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematical PhysicsSteklov Mathematical InstituteMoscowRussia

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