209 citations · 502 across the 8 of their papers we have counts for
8 papers
Discrete evolution for the zero-modes of the Quantum Liouville Model
L. D. Faddeev, A. Yu. Volkov
The dynamical system for the zero modes of the Liouville Model, which is separated from the full dynamics for the discrete shifts of time , is investigated. The struc…
On Zamolodchikov's Periodicity Conjecture
Alexandre Yu. Volkov
I prove Zamolodchikov's periodicity conjecture for type A with both ranks arbitrary.
Noncommutative Hypergeometry
A. Yu. Volkov
A certain special function of the generalized hypergeometric variety is shown to fulfill a host of useful noncommutative identities.
Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
L. D. Faddeev, R. M. Kashaev, A. Yu. Volkov
The quantum discrete Liouville model in the strongly coupled regime, 1<c<25, is formulated as a well defined quantum mechanical problem with unitary evolution operator. The theory…
Algebraic Quantization of Integrable Models in Discrete Space-time
L. D. Faddeev, A. Yu. Volkov
Just like decent classical difference-difference systems define symplectic maps on suitable phase spaces, their counterparts with properly ordered noncommutative entries come as He…
Shift Operator for Nonabelian Lattice Current Algebra
L. Faddeev, A. Yu. Volkov
The shift operator for a quantum lattice current algebra associated with sl(2) is produced in the form of product of local factors. This gives a natural deformation of the Sugawara…