A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories

Abstract

Using the duality between seemingly different (2+1)d conformal field theories (CFT) proposed recently, we study a series of (2+1)d stable self-dual interacting CFTs. These CFTs can be realized (for instance) on the boundary of the (3+1)d bosonic topological insulator protected by U(1) and time-reversal symmetry, and they remain stable as long as these symmetries are preserved. When realized as a boundary system, these CFTs can be driven into anomalous fractional quantum Hall states once time-reversal is broken. We demonstrate that the newly proposed dualities allow us to study these CFTs quantitatively through a controlled calculation, without relying on a large flavor number of matter fields.

arXiv comment7 pages

References in corpus (37)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological entanglement entropy
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Detecting topological order in a ground state wave function
• "Deconfined" quantum critical points
• Towards a derivation of holographic entanglement entropy
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Mirror Symmetry in Three Dimensional Gauge Theories
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• On the RG running of the entanglement entropy of a circle
• Is the Composite Fermion a Dirac Particle?
• Level/rank Duality and Chern-Simons-Matter Theories
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• Algebraic spin liquid as the mother of many competing orders
• Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
• Particle-Vortex Duality from 3d Bosonization
• Competing orders, non-linear sigma models, and topological terms in quantum magnets
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Dual Dirac liquid on the surface of the electron topological insulator
• Bosonic topological insulator in three dimensions and the statistical Witten effect
• Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions
• Mott Transition in An Anyon Gas
• Non-Compact QED_3 with N_f=1 and N_f=4
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• A continuous transition between fractional quantum Hall and superfluid states
• Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator
• Scale-invariance of parity-invariant three-dimensional QED
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Modular Invariance, Self-Duality and The Phase Transition Between Quantum Hall Plateaus
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• Time-reversal symmetric U(1) quantum spin liquids
• Bound states of three fermions forming symmetry-protected topological phases

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• Deconfined quantum critical points: symmetries and dualities
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Higher order symmetry-protected topological states for interacting bosons and fermions
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Dual Boundary Conditions in 3d SCFT's
• More Abelian Dualities in 2+1 Dimensions
• Emergent Symmetry and Conserved Current at a One Dimensional Incarnation of Deconfined Quantum Critical Point
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Duality and Universal Transport in a Mixed-Dimension Electrodynamics
• Two dimensional metallic phases from disordered QED${}_3$
• A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases
• Self-Dual $\nu =1$ Bosonic Quantum Hall State in Mixed Dimensional QED
• Surface field theories of point group symmetry protected topological phases
• Parity anomaly cancellation in a three-dimensional QED with single massless Dirac fermion
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• 4D beyond-cohomology topological phase protected by $C_2$ symmetry and its boundary theories
• A correspondence between the free and interacting field theories
• Self-duality protected multi-criticality in deconfined quantum phase transitions