Energy bounds condition for intertwining operators of types 𝐵, 𝐶, and 𝐺₂ unitary affine vertex operator algebras

Gui, Bin

doi:10.1090/tran/7907

Energy bounds condition for intertwining operators of types $B$, $C$, and $G_2$ unitary affine vertex operator algebras
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Trans. Amer. Math. Soc. 372 (2019), 7371-7424 Request permission

Abstract:

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.

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