Self-dual vertex operator superalgebras and superconformal field theory

Creutzig T, Duncan JF, Riedler W (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 51

Article Number: 034001

Journal Issue: 3

DOI: 10.1088/1751-8121/aa9af5

Abstract

Recent work has related the equivariant elliptic genera of sigma models with K3 surface target to a vertex operator superalgebra that realizes moonshine for Conway's group. Motivated by this we consider conditions under which a self-dual vertex operator superalgebra may be identified with the bulk Hilbert space of a superconformal field theory. After presenting a classification result for self-dual vertex operator superalgebras with central charge up to 12 we describe several examples of close relationships with bulk superconformal field theories, including those arising from sigma models for tori and K3 surfaces.

Authors with CRIS profile

Thomas Creutzig

Involved external institutions

University of Alberta CA Canada (CA) Emory University US United States (USA) (US)

How to cite

APA:

Creutzig, T., Duncan, J.F., & Riedler, W. (2018). Self-dual vertex operator superalgebras and superconformal field theory. Journal of Physics A: Mathematical and Theoretical, 51(3). https://doi.org/10.1088/1751-8121/aa9af5

MLA:

Creutzig, Thomas, John F.R. Duncan, and Wolfgang Riedler. "Self-dual vertex operator superalgebras and superconformal field theory." Journal of Physics A: Mathematical and Theoretical 51.3 (2018).

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