Nonsupersymmetric dualities from mirror symmetry
Shamit Kachru, Michael Mulligan, Gonzalo Torroba, and Huajia Wang
TL;DR
This paper explores how breaking supersymmetry in 2+1D dual pairs leads to multiple non-supersymmetric dualities, revealing new relationships between scalar and fermionic theories and extending mirror symmetry.
Contribution
It demonstrates that non-supersymmetric dualities can be derived from supersymmetric mirror symmetry by perturbing the simplest dual pair.
Findings
Identification of four massive phases in the phase diagram.
Dualities relating scalar QED to free fermions.
Connections between Wilson-Fisher theories and scalar/fermionic QED.
Abstract
We study supersymmetry breaking perturbations of the simplest dual pair of 2+1-dimensional N = 2 supersymmetric field theories -- the free chiral multiplet and N = 2 super-QED with a single flavor. We find dual descriptions of a phase diagram containing four distinct massive phases. The equivalence of the intervening critical theories gives rise to several non-supersymmetric avatars of mirror symmetry: we find dualities relating scalar QED to a free fermion and Wilson-Fisher theories to both scalar and fermionic QED. Thus, mirror symmetry can be viewed as the multicritical parent duality from which these non-supersymmetric dualities directly descend.
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