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.

arXiv comment4 pages, 2 figures; v2: new title, adds refs, fixed typos

References in corpus (32)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Mirror Symmetry in Three Dimensional Gauge Theories
• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Fermion Path Integrals And Topological Phases
• Chern-Simons Theory with Vector Fermion Matter
• Is the Composite Fermion a Dirac Particle?
• Level/rank Duality and Chern-Simons-Matter Theories
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Particle-Vortex Duality from 3d Bosonization
• Comments on 3d Seiberg-like dualities
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Comments on Chern-Simons Contact Terms in Three Dimensions
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• D-brane Charges in Five-brane backgrounds
• Holomorphic Blocks in Three Dimensions
• Dual Dirac liquid on the surface of the electron topological insulator
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions
• The half-filled Landau level: the case for Dirac composite fermions
• Chern Simons duality with a fundamental boson and fermion
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• Bosonization and Mirror Symmetry
• Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator
• Dynamics of N=2 Supersymmetric Chern-Simons Theories
• Mirror symmetry and the half-filled Landau level
• Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
• Bosonic Analogue of Dirac Composite Fermi Liquid
• Particle-vortex symmetric liquid
• Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Cited by in corpus (61)

• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• A Web of 2d Dualities: ${\mathbf{Z}}_2$ Gauge Fields and Arf Invariants
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Duality between $(2+1)d$ Quantum Critical Points
• Dual Boundary Conditions in 3d SCFT's
• Phases Of Adjoint QCD${}_3$ And Dualities
• A Symmetry Breaking Scenario for QCD${}_3$
• Three-dimensional dualities with bosons and fermions
• Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet
• Candidate Phases for SU(2) Adjoint QCD${}_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• Monopole Operators in $U(1)$ Chern-Simons-Matter Theories
• Symmetry and duality in bosonization of two-dimensional Dirac fermions
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Embedding three-dimensional bosonization dualities into string theory
• Fermionized parafermions and symmetry-enriched Majorana modes
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
• A master bosonization duality
• Dualities and Phases of 3D N=1 SQCD
• Bosonizing three-dimensional quiver gauge theories
• Deconfined criticality from the QED${}_3$-Gross-Neveu model at three loops
• Fermionic spinon theory of square lattice spin liquids near the Néel state
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• Novel 3d bosonic dualities from bosonization and holography
• Non-Abelian bosonization and modular transformation approach to superuniversality
• Fractons and exotic symmetries from branes
• Loop Models, Modular Invariance, and Three Dimensional Bosonization
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Phases of QCD${}_3$ from Non-SUSY Seiberg Duality and Brane Dynamics
• Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
• Metastable Vacua in Large-$N$ QCD${}_3$
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Mirror Symmetry and Bosonization in 2d and 3d
• Parity Anomaly and Duality Web
• Composite Weyl semimetal as a parent state for three dimensional topologically ordered phases
• Self-Dual $\nu =1$ Bosonic Quantum Hall State in Mixed Dimensional QED
• Testing the Boson/Fermion Duality on the Three-Sphere
• 3d N=4 Bootstrap and Mirror Symmetry
• Charting the phase diagram of QCD${}_3$
• Two-dimensional conductors with interactions and disorder from particle-vortex duality
• 3d $\mathcal{N}=2$ dualities for $SU(N_c)\times U(1)$ Chern-Simons gauge theories
• Chern-Simons dualities with multiple flavors at large $N$
• Anomalous dimensions of monopole operators in scalar QED${}_3$ with Chern-Simons term
• Deriving three-dimensional bosonization and the duality web
• $QC{D}_3$ Dualities and the F-Theorem
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• Nonabelian Mirror Symmetry Beyond the Chiral Ring
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Phases of $\mathbf{U}({\mathbf{N}}_{\mathbf{c}})$ QCD${}_3$ from Type 0 Strings and Seiberg Duality
• Fermion-fermion duality in 3+1 dimensions
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Trialities of minimally supersymmetric 2d gauge theories
• Phases of Flavor Broken QCD${}_3$
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Flavor Broken QCD${}_3$ at Large N
• Discussion of the Duality in Three Dimensional Quantum Field Theory
• A Duality Web in Condensed Matter Systems
• SUSY Breaking in Monopole Quivers