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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Energy bounds condition for intertwining operators of types $ B$, $ C$, and $ G_2$ unitary affine vertex operator algebras


Author: Bin Gui
Journal: Trans. Amer. Math. Soc. 372 (2019), 7371-7424
MSC (2010): Primary 17B69, 81T05, 81T40
DOI: https://doi.org/10.1090/tran/7907
Published electronically: August 20, 2019
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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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Additional Information

Bin Gui
Affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
Email: bin.gui@rutgers.edu

DOI: https://doi.org/10.1090/tran/7907
Received by editor(s): September 23, 2018
Received by editor(s) in revised form: May 10, 2019
Published electronically: August 20, 2019
Article copyright: © Copyright 2019 American Mathematical Society