Algebraic Framework for Quantization of Nonultralocal Models
High Energy Physics - Theory
2009-10-28 v2 Quantum Algebra
q-alg
Abstract
Extension of the braid relations to the multiple braided tensor product of algebras that can be used for quantization of nonultralocal models is presented. The Yang--Baxter--type consistency conditions as well as conditions for the existence of the multiple coproduct (monodromy matrix), which can be used for construction of the commuting subalgebra, are given. Homogeneous and local algebras are introduced, and simplification of the Yang--Baxter--type conditions for them is shown. The Yang--Baxter--type equations and multiple coproduct conditions for homogeneous and local of order 2 algebras are solved.
Cite
@article{arxiv.hep-th/9412142,
title = {Algebraic Framework for Quantization of Nonultralocal Models},
author = {L. Hlavaty},
journal= {arXiv preprint arXiv:hep-th/9412142},
year = {2009}
}
Comments
18 pages, Latex, one formula plus two citations added, several misprints were corrected