NONSINGULAR COMPLEX INSTANTONS ON EUCLIDEAN SPACETIME

Author:

DALLAGNOL LLOHANN1,JARDIM MARCOS1

Affiliation:

1. Instituto de Matemática, Estatıstica e Computação Cientıfica, Universidade Federal de Campinas — UNICAMP, Caixa Postal 6065, 13083-859, Campinas, SP, Brazil

Abstract

Building on a variation of 't Hooft's harmonic function ansatz for SU(2) instantons on ℝ4, we provide new explicit nonsingular solutions of the Yang–Mills anti-self-duality equations on Euclidean spacetime with gauge group SL(2, ℂ) and SL(3, ℝ).

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Extended complex Yang–Mills instanton sheaves;International Journal of Geometric Methods in Modern Physics;2020-03

2. Modified field equations from a complexified nonlocal metric;Canadian Journal of Physics;2019-08

3. Yang–Mills instantons in Kähler spaces with one holomorphic isometry;Physics Letters B;2018-03

4. Toward Picard–Lefschetz theory of path integrals, complex saddles and resurgence;Annals of Mathematical Sciences and Applications;2017

5. Integrable vortex-type equations on the two-sphere;Physical Review D;2012-11-26

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