Zamolodchikov tetrahedral equation and higher Hamiltonians of 2d quantum integrable systems

Dmitry V. Talalaev

Published 2015-05-25Version 1

The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the tetrahedral equation. As opposed to the series of papers of Bazhanov, Mangazeev and Sergeev the approach presented here is effective for generic solutions of the tetrahedral equation without spectral parameter. In a sense, this result is a two-dimensional generalization of the method of Maillet.