299 citations · 686 across the 7 of their papers we have counts for
7 papers
Spin Calogero-Moser models on symmetric spaces
N. Reshetikhin
In this paper we construct and prove superintegrability of spin Calogero-Moser type systems on symplectic leaves of where are subgroups.…
Degenerate integrability of quantum spin Calogero--Moser systems
N. Reshetikhin
The main result of this note is the proof of degenerate quantum integrability of quantum spin Calogero--Moser systems and the description of the spectrum of quantum Hamiltonians in…
Quantum Calabi-Yau and Classical Crystals
Andrei Okounkov, Nikolai Reshetikhin, Cumrun Vafa
We propose a new duality involving topological strings in the limit of large string coupling constant. The dual is described in terms of a classical statistical mechanical model of…
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
Andrei Okounkov, Nikolai Reshetikhin
Schur process is a time-dependent analog of the Schur measure on partitions studied in math.RT/9907127. Our first result is that the correlation functions of the Schur process are…
Towards Deformed Chiral Algebras
Edward Frenkel, Nikolai Reshetikhin
We describe a new algebraic structure of "deformed chiral algebra" motivated by the study of the deformed W-algebras. We use it to gain some insights into the deformed Virasoro alg…
Quantum Affine Algebras and Deformations of the Virasoro and W-algebras
Edward Frenkel, Nikolai Reshetikhin
We generalize some results concerning affine algebras at the critical level to the corresponding quantum algebras. In particular, we show that the Wakimoto realization provides a h…