PIRSA:26090021 Scientific Series Mathematical physics

DOI10.48660/26090021

Series: Mathematical Physics

Tamagni, S. (2026). Scattering matrices for noncommutative instantons. Perimeter Institute. https://pirsa.org/26090021

Tamagni, Spencer. Scattering matrices for noncommutative instantons. Perimeter Institute, Sep. 04, 2026, https://pirsa.org/26090021 

@misc{ pirsa_PIRSA:26090021,
  doi = {10.48660/26090021},
  url = {https://pirsa.org/26090021},
  author = {Tamagni, Spencer},
  keywords = {Mathematical physics},
  language = {en},
  title = {Scattering matrices for noncommutative instantons},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {sep},
  note = {PIRSA:26090021 see, \url{https://pirsa.org}}
}

Abstract

The assignment of scattering data to monopoles is a classical construction in gauge theory useful to understand the geometry of monopole moduli spaces; from the modern perspective, it is of interest because monopole scattering matrices are quasiclassical limits of R-matrices of shifted Yangians. I will describe an analogous construction of quasiclassical R-matrices of affine Yangians using moduli spaces of noncommutative instantons; this can be interpreted via defect intersections in a semiclassical limit of the 5d Chern-Simons theory. In the simplest possible case, corresponding R-matrices reproduce Miura operators, but otherwise they seem to be new. If time permits I will describe a (dual) construction of the quantization of these R-matrices using geometry of quasimap moduli spaces.

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