Nonsupersymmetric dualities from mirror symmetry

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.

4 pages, 2 figures; v2: new title, adds refs, fixed typos

References in corpus (3)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• Bosonization and Mirror Symmetry

Cited by in corpus (13)

• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Embedding three-dimensional bosonization dualities into string theory
• Bosonizing three-dimensional quiver gauge theories
• Fermionic spinon theory of square lattice spin liquids near the Néel state
• Fractons and exotic symmetries from branes
• Testing the Boson/Fermion Duality on the Three-Sphere
• Two-dimensional conductors with interactions and disorder from particle-vortex duality
• Chern-Simons dualities with multiple flavors at large $N$
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Flavor Broken QCD${}_3$ at Large N
• Discussion of the Duality in Three Dimensional Quantum Field Theory