Abstract
We study a supersymmetry breaking deformation of the \( \mathcal{N}=\left(2,2\right) \) cigar = Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-Gordon respectively. The exact bosonization map emerges at one-loop. We further compactify non-supersymmetric 3d bosonization dualities on a circle and argue that these too flow to 2d bosonization at long distances.
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Karch, A., Tong, D. & Turner, C. Mirror symmetry and bosonization in 2d and 3d. J. High Energ. Phys. 2018, 59 (2018). https://doi.org/10.1007/JHEP07(2018)059
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DOI: https://doi.org/10.1007/JHEP07(2018)059