Twisted tensor products of nonlocal vertex algebras

TL;DR

This paper introduces a new twisted tensor product construction for nonlocal vertex algebras, establishing its universal property, characterizing it, and constructing modules, while connecting it to previously studied smash products.

Contribution

It presents a novel twisted tensor product framework for nonlocal vertex algebras, including universal properties, characterizations, and module constructions, linking to existing smash product concepts.

Findings

Established a universal property for the twisted tensor product

Provided a characterization of the twisted tensor product

Constructed modules for the twisted tensor product

Abstract

In this paper we introduce and study a twisted tensor product construction of nonlocal vertex algebras. Among the main results, we establish a universal property and give a characterization of a twisted tensor product. Furthermore, we give a construction of modules for a twisted tensor product. We also show that smash products studied by one of us before can be realized as twisted tensor products.