8 citations · 13 across the 5 of their papers we have counts for
5 papers
On quantum L-operator for two-dimensional lattice Toda model
A. Bytsko, I. Davydenkova
The two-dimensional quantum lattice Toda model for the affine and simple Lie algebras of the type A is considered. For its known L-operator a correction of the second order in the…
On constant U_q(sl_2)-invariant R-matrices
Andrei Bytsko
The spectral resolution of a U_q(sl_2)-invariant solution R of the constant Yang-Baxter equation in the braid group form is considered. It is shown that, if the two highest coeffic…
On string solutions of Bethe equations in N=4 supersymmetric Yang-Mills theory
A. G. Bytsko, I. E. Shenderovich
The Bethe equations, arising in description of the spectrum of the dilatation operator for the su(2) sector of the N=4 supersymmetric Yang-Mills theory, are considered in the anti-…
Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities
A. G. Bytsko
Characters and linear combinations of characters that admit a fermionic sum representation as well as a factorized form are considered for some minimal Virasoro models. As a conseq…
A Note on ADE-Spectra in Conformal Field Theory
A. G. Bytsko, A. Fring
We demonstrate that certain Virasoro characters (and their linear combinations) in minimal and non-minimal conformal models which admit factorized forms are manifestly related to t…