Vortex-boson duality in four space-time dimensions

Abstract

A continuum version of the vortex-boson duality in (3+1) dimensions is formulated and its implications studied in the context of a pair Wigner crystal in underdoped cuprate superconductors. The dual theory to a phase fluctuating superconductor (or superfluid) is shown to be a theory of bosonic strings interacting through a Kalb-Ramond rank-2 tensorial gauge field. String condensation produces Higgs mass for the gauge field and the expected Wigner crystal emerges as an interesting space-time analog of the Abrikosov lattice.

4 pages REVTeX; for related work and info visit http://www.physics.ubc.ca/~franz

References in corpus (10)

• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Pair Density Wave in the Pseudogap State of High Temperature Superconductors
• Putting competing orders in their place near the Mott transition
• On the origin of artificial electrodynamics and other stories in three-dimensional bosonic models
• Charge modulation, spin response, and dual Hofstadter butterfly in high-Tc cuprates
• Quantum ether: photons and electrons from a rotor model
• A model of phase fluctuations in a lattice d-wave superconductor: application to the Cooper pair charge-density-wave in underdoped cuprates
• Onset of a boson mode at superconducting critical point of underdoped YBa2Cu3Oy
• Duality and the vibrational modes of a Cooper-pair Wigner crystal

Cited by in corpus (25)

• Generalized Symmetries in Condensed Matter
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Mean string field theory: Landau-Ginzburg theory for 1-form symmetries
• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Theory of the fractional quantum Hall effect in Weyl semimetals
• Condensing Nielsen-Olesen strings and the vortex-boson duality in 3+1 and higher dimensions
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• Hydrodynamics of vortices in Bose-Einstein condensates: A defect-gauge field approach
• Geometry defects in Bosonic symmetry protected topological phases
• Emergent vortex-electron interaction from dualization
• Vortex lines attached to dark solitons in Bose-Einstein condensates and Boson-Vortex Duality in 3+1 Dimensions
• Fermion-fermion duality in 3+1 dimensions
• Topological aspects of brane fields: solitons and higher-form symmetries
• Large Dual Transformations and the Petrov-Diakonov Representation of the Wilson Loop
• Fractonic self-duality and covariant magnetic fractons
• Experimental signatures of Kalb-Ramond-like particles
• Type-II Bose-Mott insulators
• Spin gauge theory, duality and fermion pairing
• Higgs Phases and Boundary Criticality
• Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
• Extended dual description of Mott transition beyond two-dimensional space
• Bulk-boundary correspondence between charged, anyonic strings and vortices
• Dark Solitons, D-branes and Noncommutative Tachyon Field Theory
• Global shift symmetry on an ADM hypersurface: Toward emergent gravity
• Relativistic two-fluid hydrodynamics with quantized vorticity from the nonlinear Klein-Gordon equation