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arXiv · 2204.02991

Vertex Operator Algebras and Topologically Twisted Chern-Simons-Matter Theories

Niklas Garner
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Abstract

We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk. Our main examples come from the topological $A$ and $B$ twists of the exotic $\mathcal{N}=4$ Chern-Simons-matter theories of Gaiotto-Witten, but we show that there is a topological "$A$-twist" for a much larger class of $\mathcal{N}\neq4$ theories. We illustrate a particular example of this new class of theories that admits the $p=2$ singlet VOA $\mathfrak{M}(2)$ on its boundary and comment on its relation to the $ψ\to \infty$ limit of the Gaiotto-Rap{\v c}{á}k corner VOA $Y_{1,1,0}[ψ]$.

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BibTeXRIS

Niklas Garner. 2023-07-10. Vertex Operator Algebras and Topologically Twisted Chern-Simons-Matter Theories. https://arxiv.org/abs/2204.02991

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