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 \( \mathcal{N} \) ≠ 4 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 → ∞ limit of the Gaiotto-Rapčák corner VOA Y1,1,0[ψ].
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Acknowledgments
We would like to thank Tudor Dimofte for his support during the preparation of this paper and his suggestion for investigating this problem. We would also like thank Thomas Creutzig, Justin Hilburn, Brian Williams, and Keyou Zeng for useful conversations during the development of this project. N.G. acknowledges support from the University of Washington and previous support from T. Dimofte’s NSF CAREER grant DMS 1753077.
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Garner, N. Vertex operator algebras and topologically twisted Chern-Simons-matter theories. J. High Energ. Phys. 2023, 25 (2023). https://doi.org/10.1007/JHEP08(2023)025
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DOI: https://doi.org/10.1007/JHEP08(2023)025