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Mirror Symmetry and Bosonization in 2d and 3d

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arxiv 1805.00941 v2 pith:TSQ4QMKL submitted 2018-05-02 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords bosonizationmirrorsymmetryarguebreakingcigarcirclecompactify
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0 of 10

    Duality interfaces in 2d CFT project the vacuum entanglement spectrum onto a single symmetry sector, making the interface itself a physical symmetry-resolution filter.

  2. Planar Abelian Duals of Chern-Simons QCD

    hep-th 2025-06 conditional novelty 7.0 of 10

    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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