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Mirror Symmetry and Bosonization in 2d and 3d

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abstract

We study a supersymmetry breaking deformation of the 2d N=(2,2) 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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Planar Abelian Duals of Chern-Simons QCD

hep-th · 2025-06-05 · conditional · novelty 7.0

Proposes a new family of infrared dualities between non-Abelian 3d Chern-Simons QCD and Abelian planar quiver theories, with a bosonization rule trading flavors for quiver columns.

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  • Planar Abelian Duals of Chern-Simons QCD hep-th · 2025-06-05 · conditional · none · ref 16 · internal anchor

    Proposes a new family of infrared dualities between non-Abelian 3d Chern-Simons QCD and Abelian planar quiver theories, with a bosonization rule trading flavors for quiver columns.