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2018

Mirror Symmetry and Bosonization in 2d and 3d

Karch, Andreas, Tong, David, Turner, Carl

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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.

Mirror Symmetry and Bosonization in 2d and 3d · Around

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