Multi-Soliton scattering of the Anti-Self-Dual Yang-Mills Equations in 4-dimensional split signature

@article{Huang2022MultiSolitonSO,
  title={Multi-Soliton scattering of the Anti-Self-Dual Yang-Mills Equations in 4-dimensional split signature},
  author={Shan-Chi Huang},
  journal={Proceedings of the East Asia Joint Symposium on Fields and Strings 2021},
  year={2022}
}
  • Shan-Chi Huang
  • Published 31 January 2022
  • Physics
  • Proceedings of the East Asia Joint Symposium on Fields and Strings 2021
We construct the ASDYM 1-solitons and multi-solitons for split signature and interpret them as soliton walls. We show that the gauge group is G = SU(2) for the entire intersecting soliton walls, and SU(3) for each soliton walls in the asymptotic region. This is joint research partially with Masashi Hamanaka, 

References

On Soliton Solutions of the Anti-Self-Dual Yang-Mills Equations from the Perspective of Integrable Systems

In this thesis, we construct a class of exact ASDYM 1-solitons and multi-solitons on 4-dimensional real spaces with the Euclidean signature $(+, +, +, +)$, the Minkowski signature $(+, - , -, -)$,