Publications (41)
Spectral Duality in Integrable Systems from AGT Conjecture
A. Mironov, A. Morozov, Y. Zenkevich +1
Quadratic algebras related to elliptic curves
Yu. Chernyakov, A. M. Levin, M. Olshanetsky +1
Classical-Quantum Correspondence and Functional Relations for Painleve Equations
A. Zabrodin, A. Zotov
Characteristic Classes and Integrable Systems for Simple Lie Groups
A. Levin, M. Olshanetsky, A. Smirnov +1
Relativistic elliptic matrix tops and finite Fourier transformations
A. Zotov
Classification of Isomonodromy Problems on Elliptic Curves
A. Levin, M. Olshanetsky, A. Zotov
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painleve VI equation
A. Levin, M. Olshanetsky, A. Zotov
Yang-Baxter equations with two Planck constants
A. Levin, M. Olshanetsky, A. Zotov
Supersymmetric extension of qKZ-Ruijsenaars correspondence
A. Grekov, A. Zabrodin, A. Zotov
R-matrix-valued Lax pairs and long-range spin chains
I. Sechin, A. Zotov
Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version
A. M. Levin, M. A. Olshanetsky, A. Zotov
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins
S. Kharchev, A. Levin, M. Olshanetsky +1
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian
A. Zabrodin, A. Zotov
On R-matrix valued Lax pairs for Calogero-Moser models
A. Grekov, A. Zotov
Trigonometric version of quantum-classical duality in integrable systems
M. Beketov, A. Liashyk, A. Zabrodin +1
On Relation Between Moyal and Kontsevich Quantum Products. Direct Evaluation up to the $\hbar^3$-Order
A. Zotov
Higher order analogues of unitarity condition for quantum R-matrices
A. Zotov
Quantum Painleve-Calogero Correspondence
A. Zabrodin, A. Zotov
KZ-Calogero correspondence revisited
A. Zabrodin, A. Zotov
Rational Top and its Classical R-matrix
G. Aminov, S. Arthamonov, A. Smirnov +1
Painleve Field Theory
G. Aminov, S. Arthamonov, A. Levin +2
Elliptic Schlesinger system and Painlev{é} VI
Yu. Chernyakov, A. M. Levin, M. Olshanetsky +1
Spectral Duality Between Heisenberg Chain and Gaudin Model
A. Mironov, A. Morozov, B. Runov +2
Quantum Baxter-Belavin R-matrices and multidimensional Lax pairs for Painleve VI
A. Levin, M. Olshanetsky, A. Zotov
Seiberg-Witten curves and double-elliptic integrable systems
G. Aminov, H. W. Braden, A. Mironov +2
Painleve VI, Rigid Tops and Reflection Equation
A. Levin, M. Olshanetsky, A. Zotov
Characteristic Classes of SL(N)-Bundles and Quantum Dynamical Elliptic R-Matrices
A. Levin, M. Olshanetsky, A. Smirnov +1
Asymmetric 6-vertex model and classical Ruijsenaars-Schneider system of particles
A. Liashyk, D. Rudneva, A. Zabrodin +1
Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices
I. Sechin, A. Zotov
Calogero-Sutherland system with two types interacting spins
S. Kharchev, A. Levin, M. Olshanetsky +1
Planck Constant as Spectral Parameter in Integrable Systems and KZB Equations
A. Levin, M. Olshanetsky, A. Zotov
Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
A. Gorsky, A. Zabrodin, A. Zotov
Spectral dualities in XXZ spin chains and five dimensional gauge theories
A. Mironov, A. Morozov, B. Runov +2
QKZ-Ruijsenaars correspondence revisited
A. Zabrodin, A. Zotov
Three-particle Integrable Systems with Elliptic Dependence on Momenta and Theta Function Identities
G. Aminov, A. Mironov, A. Morozov +1
Classical integrable systems and soliton equations related to eleven-vertex R-matrix
A. Levin, M. Olshanetsky, A. Zotov
Elliptic Linear Problem for Calogero-Inozemtsev Model and Painleve VI Equation
A. Zotov
Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero-Moser systems and KZB equations
A. Levin, M. Olshanetsky, A. Zotov
Integrable Many-Body Systems via Inozemtsev Limit
Yu. Chernyakov, A. Zotov
Characteristic Classes and Integrable Systems. General Construction
A. Levin, M. Olshanetsky, A. Smirnov +1
Relativistic Classical Integrable Tops and Quantum R-matrices
A. Levin, M. Olshanetsky, A. Zotov