Iterated twisted tensor products of nonlocal vertex algebras

Abstract

This is the second paper in a series devoted to studies of twisted tensor products of nonlocal vertex algebras. In this paper we introduce and study iterated twisted tensor products of nonlocal vertex algebras. Among the main results, we find conditions for constructing an iterated twisted tensor product of three factors, and prove that those conditions are enough for building an iterated twisted tensor product of any number of factors. And we also establish a universal property and give a characterization of an iterated twisted tensor product. Furthermore, we give an example of iterated twisted tensor product nonlocal vertex algebra.