Higher-Dimensional Integrable Scattering

Lewis T. Cole

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arXiv · 2609.04374

Higher-Dimensional Integrable Scattering

Lewis T. Cole

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Abstract

This paper describes classical soliton scattering in the 2+1d integrable chiral model, related to the Bogomolny monopole equation and self-dual Yang-Mills, as a case study for higher-dimensional integrable scattering. Extended line solitons exhibit nontrivial scattering with lump solitons and with other line solitons, and $N \to N$ interactions can be factorised into a series of $2 \to 2$ interactions. Scattering between parallel line solitons in 3d is related to lump soliton scattering in 2d, allowing for direct comparison with results in 1+1d integrable field theories.

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Lewis T. Cole. 2026-09-03. Higher-Dimensional Integrable Scattering. https://arxiv.org/abs/2609.04374

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