1 citations · 1 across the 7 of their papers we have counts for
8 papers
Superintegrability of stratified symplectic spaces
Zhuo Chen, Kai Jiang, Nicolai Reshetikhin +1
We define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase spac…
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…
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…
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…
Flat Connections from Irregular Conformal Blocks
Babak Haghighat, Yihua Liu, Nicolai Reshetikhin
In this work we study Liouville conformal blocks with degenerate primaries and one operator in an irregular representation of the Virasoro algebra. Using an algebraic approach, we…
Folded quantum integrable models and deformed W-algebras
Edward Frenkel, David Hernandez, Nicolai Reshetikhin
We propose a novel quantum integrable model for every non-simply laced simple Lie algebra , which we call the folded integrable model. Its spectra correspond to solu…
On invariants of graphs related to quantum at roots of unity
Nathan Geer, Nicolai Reshetikhin
We show how to define invariants of graphs related to quantum when the graph has more then one connected component and components are colored by blocks of repres…