3 papers
math.QA2004
On higher spin Uq(sl_2)-invariant R-matrices
Andrei Bytsko
The spectral decomposition of regular Uq(sl_2)-invariant solutions of the Yang-Baxter equation is studied. An algorithm for finding all possible solutions of spin s is developed. I…
math-ph1999
Two-term dilogarithm identities related to conformal field theory
Andrei G. Bytsko
We study 2x2 matrices A such that the corresponding TBA equations yield c[A] in the form of the effective central charge of a minimal Virasoro model. Certain properties of such mat…
hep-th1994
The zero-curvature representation for nonlinear O(3) sigma-model
A. G. Bytsko
We consider O(3) sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-cu…