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arXiv · 1608.05077

Bosonization and Mirror Symmetry

Shamit Kachru·Michael Mulligan·Gonzalo Torroba·Huajia Wang
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Abstract

We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we dynamically obtain the bosonization duality that equates the theory of a free Dirac fermion to QED3 with a single scalar boson. This duality may be used to demonstrate the bosonization duality relating an $O(2)$-symmetric Wilson-Fisher fixed point to QED3 with a single Dirac fermion, Peskin-Dasgupta-Halperin duality, and the recently conjectured duality relating the theory of a free Dirac fermion to fermionic QED3 with a single flavor. Chern-Simons and BF couplings for both dynamical and background gauge fields play a central role in our approach. In the course of our study, we describe a chiral mirror pair that may be viewed as the minimal supersymmetric generalization of the two bosonization dualities.

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Shamit Kachru, Michael Mulligan, Gonzalo Torroba, Huajia Wang. 2016-08-17. Bosonization and Mirror Symmetry. https://doi.org/10.1103/physrevd.94.085009

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