Chiral Virasoro algebra from a single wavefunction
arXiv:2403.18410 · doi:10.1016/j.aop.2024.169849
Abstract
Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a representation of a single Virasoro algebra. We propose a method to systematically extract the generators of the Virasoro algebra from a single ground state wavefunction, using entanglement bootstrap and an input from the edge conformal field theory. We corroborate our construction by numerically verifying the commutation relations of the generators. We also study the unitary flows generated by these operators, whose properties (such as energy and state overlap) are shown numerically to agree with our analytical predictions.
60+20 pages, 28 figures
References in corpus (29)
- Anyons in an exactly solved model and beyond
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Local stabilizer codes in three dimensions without string logical operators
- Holographic c-theorems in arbitrary dimensions
- Spectral Gap and Exponential Decay of Correlations
- Quantum Glassiness
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Fractons
- Fractional statistics in anyon collisions
- Fermionic Localization of the Schwarzian Theory
- Topological Order with a Twist: Ising Anyons from an Abelian Model
- Fracton Phases of Matter
- Relative entropy and the Bekenstein bound
- Entanglement hamiltonians in two-dimensional conformal field theory
- Reduced density matrix and internal dynamics for multicomponent regions
- The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
- Entropy and modular Hamiltonian for a free chiral scalar in two intervals
- A mathematical theory of gapless edges of 2d topological orders. Part I
- Gapless edges of 2d topological orders and enriched monoidal categories
- A mathematical theory of gapless edges of 2d topological orders. Part II
- Entanglement Hamiltonians for chiral fermions with zero modes
- Entanglement bootstrap approach for gapped domain walls
- Modular Commutators in Conformal Field Theory
- Relative entropy for coherent states in chiral CFT
- Verlinde formula from entanglement
- Conformal field theory from lattice fermions
- A new operator extension of strong subadditivity of quantum entropy
- Virasoro Generators in the Fibonacci Model Tensor Network -- Tackling Finite Size Effects