Spin Ruijsenaars-Schneider models are Coulomb branches

June 02, 2026 PIRSA:26060049 Scientific Series Quantum Fields and Strings

Hardi, L. (2026). Spin Ruijsenaars-Schneider models are Coulomb branches. Perimeter Institute. https://pirsa.org/26060049

Hardi, Lukas. Spin Ruijsenaars-Schneider models are Coulomb branches. Perimeter Institute, Jun. 02, 2026, https://pirsa.org/26060049

@misc{ pirsa_PIRSA:26060049,
  doi = {10.48660/26060049},
  url = {https://pirsa.org/26060049},
  author = {Hardi, Lukas},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Spin Ruijsenaars-Schneider models are Coulomb branches},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {jun},
  note = {PIRSA:26060049 see, \url{https://pirsa.org}}
}

Abstract

To every 4d N=2 quiver theory compactified on a circle, one can associate its moduli space of Coulomb vacua, also called the K-theoretic Coulomb branch of the quiver, which carries the structure of a Poisson variety. In this talk, we explain that the (abelianized) K-theoretic Coulomb branch of the necklace quiver is the complex integrable system known as the trigonometric spin Ruijsenaars–Schneider model. This is achieved by exhibiting a collection of L-operators associated to the arrows in the necklace quiver, thereby defining an integrable spin chain. Time permitting, we will discuss a quantization of the model.