4 papers
Low-dimensional tori in Calogero-Moser-Sutherland systems
Andrii Liashyk, Guorui Ma, Nicolai Reshetikhin +1
The main result of this paper is an explicit description of the stratification of the phase space of Calogero--Moser--Sutherland (CMS) integrable systems corresponding to Lie group…
Quantum Integrable Systems on a Classical Integrable Background
Andrii Liashyk, Nicolai Reshetikhin, Ivan Sechin
In this paper, we develop the framework for quantum integrable systems on an integrable classical background. We call them hybrid quantum integrable systems (hybrid integrable syst…
Irregular KZ equations and Kac-Moody representations
Sergei Gukov, Babak Haghighat, Yihua Liu +1
In this paper we construct irregular representations of the affine Kac-Moody algebra . We show how such irregular representations correspond to irregula…
Foams and KZ-equations in Rozansky-Witten theories
Sergei Gukov, Babak Haghighat, Nicolai Reshetikhin
In this paper, we present a geometric description of foams, which are prevalent in topological quantum field theories (TQFTs) based on quantum algebra, and reciprocally explore the…