Three-dimensional dualities with bosons and fermions

Abstract

We propose new infinite families of non-supersymmetric IR dualities in three space-time dimensions, between Chern-Simons gauge theories (with classical gauge groups) with both scalars and fermions in the fundamental representation. In all cases we study the phase diagram as we vary two relevant couplings, finding interesting lines of phase transitions. In various cases the dualities lead to predictions about multi-critical fixed points and the emergence of IR quantum symmetries. For unitary groups we also discuss the coupling to background gauge fields and the map of simple monopole operators.

66 pages, 9 figures; v2: refs added

References in corpus (11)

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• Seiberg Duality in Chern-Simons Theory
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Cited by in corpus (52)

• On 2-Group Global Symmetries and Their Anomalies
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
• Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
• A Web of 2d Dualities: ${\mathbf{Z}}_2$ Gauge Fields and Arf Invariants
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• QCD domain walls, Chern-Simons theories and holography
• Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructures
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Dualities and Phases of 3D N=1 SQCD
• Exceptional Chern-Simons-Matter Dualities
• Living on the walls of super-QCD
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• Novel 3d bosonic dualities from bosonization and holography
• Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
• Baryons as Quantum Hall Droplets
• Metastable Vacua in Large-$N$ QCD${}_3$
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Master 3d Bosonization Duality with Boundaries
• Topology and emergent symmetries in dense compact star matter
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• The Panorama of Spin Matrix Theory
• Generalized Giveon-Kutasov duality
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Charting the phase diagram of QCD${}_3$
• Chern-Simons dualities with multiple flavors at large $N$
• 3d $\mathcal{N}=2$ dualities for $SU(N_c)\times U(1)$ Chern-Simons gauge theories
• Deconstructing S-Duality
• Conformality loss and quantum criticality in topological Higgs electrodynamics in 2+1 dimensions
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Boson-fermion duality in a gravitational background
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Fermion-fermion duality in 3+1 dimensions
• Bosonization in 2+1 dimensions via Chern-Simons bosonic particle-vortex duality
• QED's in $2+1$ dimensions: complex fixed points and dualities
• Fermionic dualities with axial gauge fields
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Phases of Flavor Broken QCD${}_3$
• New and Old Fermionic Dualities from 3d Bosonization
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Flavor Broken QCD${}_3$ at Large N
• Domain Wall and Three Dimensional Duality
• Note on Monopole Operators in Chern-Simons-Matter Theories
• Phases of QCD${}_3$ with three families of fundamental flavors