Algebraic Framework for Quantization of Nonultralocal Models

Details Algebraic Framework for Quantization of Nonultralocal Models Algebraic Framework for Quantization of Nonultralocal Models

1994-12-16

arxiv.org/abs/hep-th/9412142v2

J.Math.Phys. 36 (1995) 4882-4897

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Latex, one formula plus two citations added, several misprints were corrected

Scientific paper

10.1063/1.530926

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.

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