Tree algebras: an algebraic axiomatization of intertwining vertex operators. (Q2846611)

This paper introduces tree algebra, an algebraic formulation of intertwining operator for vertex algebra modules extending the formulation of vertex algebra by \textit{R. Hortsch, I. Kriz} and \textit{A. Pultr} [J. Algebra 324, No. 7, 1731--1753 (2010; Zbl 1275.17042)]. The authors also show that vertex tensor categories in the sense of the paper [\textit{Y. Z. Huang} and \textit{J. Lepowsky}, Duke Math. J. 99, No. 1, 113--134 (1999; Zbl 0953.17016)] are examples of tree algebras over \(\mathbb {C}\) and WZW models give examples of tree algebras over \(\mathbb {Q}\).