Direct limit completions of vertex tensor categories

Creutzig T, McRae R, Yang J (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Communications in Contemporary Mathematics World Scientific Publishing

Book Volume: 24

Article Number: 2150033

Journal Issue: 2

DOI: 10.1142/S0219199721500334

Abstract

We show that direct limit completions of vertex tensor categories inherit vertex and braided tensor category structures, under conditions that hold for example for all known Virasoro and affine Lie algebra tensor categories. A consequence is that the theory of vertex operator (super)algebra extensions also applies to infinite-order extensions. As an application, we relate rigid and non-degenerate vertex tensor categories of certain modules for both the affine vertex superalgebra of (1|2) and the N = 1 super Virasoro algebra to categories of Virasoro algebra modules via certain cosets.

Involved external institutions

University of Alberta CA Canada (CA) Tsinghua University CN China (CN)

How to cite

APA:

Creutzig, T., McRae, R., & Yang, J. (2022). Direct limit completions of vertex tensor categories. Communications in Contemporary Mathematics, 24(2). https://doi.org/10.1142/S0219199721500334

MLA:

Creutzig, Thomas, Robert McRae, and Jinwei Yang. "Direct limit completions of vertex tensor categories." Communications in Contemporary Mathematics 24.2 (2022).

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