ENERGY BOUNDS CONDITION FOR INTERTWINING OPERATORS OF TYPES B, C, AND G(2) UNITARY AFFINE VERTEX OPERATOR ALGEBRAS

摘要

The energy bounds condition for intertwining operators of unitary rational vertex operator algebras (VOAs) was studied, first by A. Wassermann for type A affine VOAs, and later by T. Loke for c < 1 Virasoro VOAs, and by V. Toledano-Laredo for type D affine VOAs. In this paper, we extend their results to affine VOAs of types B, C, and G(2). As a consequence, the modular tensor categories of these unitary vertex operator algebras are unitary.