64 citations · 174 across the 5 of their papers we have counts for
5 papers
Seiberg-Witten curves and double-elliptic integrable systems
G. Aminov, H. W. Braden, A. Mironov +2
An old conjecture claims that commuting Hamiltonians of the double-elliptic integrable system are constructed from the theta-functions associated with Riemann surfaces from the Sei…
Three-particle Integrable Systems with Elliptic Dependence on Momenta and Theta Function Identities
G. Aminov, A. Mironov, A. Morozov +1
We claim that some non-trivial theta-function identities at higher genus can stand behind the Poisson commutativity of the Hamiltonians of elliptic integrable systems, which are ma…
Spectral dualities in XXZ spin chains and five dimensional gauge theories
A. Mironov, A. Morozov, B. Runov +2
Motivated by recent progress in the study of supersymmetric gauge theories we propose a very compact formulation of spectral duality between XXZ spin chains. The action of the quan…
Spectral Duality in Integrable Systems from AGT Conjecture
A. Mironov, A. Morozov, Y. Zenkevich +1
We describe relationships between integrable systems with N degrees of freedom arising from the AGT conjecture. Namely, we prove the equivalence (spectral duality) between the N-ci…
Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions
H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky +1
We present a formula for a classical -matrix of an integrable system obtained by Hamiltonian reduction of some free field theories using pure gauge symmetries. The framework of…