
TL;DR
This paper introduces a new class of quantum vertex algebras where both commutativity and translation covariance are broken, characterized by braiding and translation maps, and satisfying a Braided Jacobi Identity.
Contribution
It defines and analyzes a novel class of quantum vertex algebras with broken translation covariance and a Braided Jacobi Identity, expanding the theoretical framework.
Findings
Defines a new class of quantum vertex algebras with braiding and translation maps.
Establishes the Braided Jacobi Identity for these algebras.
Provides foundational properties and potential applications.
Abstract
We discuss a class of quantum vertex algebras where not only the commutativity of the vertex algebra is broken by a braiding map , but also the translation covariance is broken by a translation map . The new class of quantum vertex operators satisfy a Braided Jacobi Identity containing both the braiding and the translation maps.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research
