Lifshitz gauge duality

Abstract

Motivated by a variety of realizations of the compact Lifshitz model I derive its fractonic gauge dual. The resulting U(1) vector gauge theory efficiently and robustly encodes the restricted mobility of its dipole conserving charged matter and the corresponding topological vortex defects. The gauge theory provides a transparent formulation of the three phases of the Lifshitz model and gives a field theoretic formulation of the associated two-stage Higgs transitions.

7 pages

References in corpus (7)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Topological Order and Conformal Quantum Critical Points
• The dipolar Bose-Hubbard model
• Nonlinear Elasticity, Fluctuations and Heterogeneity of Nematic Elastomers
• Thermal buckling transition of crystalline membranes in a field
• Piezo-superconductivity: new effects in non-centrosymmetric superconductors
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model

Cited by in corpus (13)

• Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
• A Chern-Simons theory for dipole symmetry
• Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
• Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
• Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
• Dynamical Spectral Response of Fractonic Quantum Matter
• Filling constraints on translation invariant dipole conserving systems
• On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
• Topological Dipole Insulator
• Fractonic superfluids. III. Hybridizing higher moments
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes