587 citations · 7.1k across the 87 of their papers we have counts for
88 papers
Quantum Trigonometric Spin Ruijsenaars-Schneider Models from -theoretic Coulomb Branches
Gleb Arutyunov, Lukas Hardi, Rob Klabbers
We quantize the trigonometric spin Ruijsenaars-Schneider model of particles each with spin states using the recently developed description of the classical model in term…
Spin Ruijsenaars-Schneider models are Coulomb branches
Gleb Arutyunov, Lukas Hardi
In this paper, we show that the Poisson algebras of homological and -theoretic Coulomb branches of 3d necklace quiver gauge theories provide Poisson structures a…
Quantized Quiver Varieties and the Quantum Spin Ruijsenaars-Schneider Model
Gleb Arutyunov, Lukas Hardi
This paper tackles the long-standing problem of quantizing the rational spin Ruijsenaars--Schneider model originating in the work of Krichever and Zabrodin. We make use of the tech…
New integrable coset sigma models
Gleb Arutyunov, Cristian Bassi, Sylvain Lacroix
By using the general framework of affine Gaudin models, we construct a new class of integrable sigma models. They are defined on a coset of the direct product of copies of a Li…
Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction
Gleb Arutyunov, Enrico Olivucci
We derive a Hamiltonian structure for the -particle hyperbolic spin Ruijsenaars-Schneider model by means of Poisson reduction of a suitable initial phase space. This phase space…
Quantum Trace Formulae for the Integrals of the Hyperbolic Ruijsenaars-Schneider model
Gleb Arutyunov, Rob Klabbers, Enrico Olivucci
We conjecture the quantum analogue of the classical trace formulae for the integrals of motion of the quantum hyperbolic Ruijsenaars-Schneider model. This is done by departing from…