Reduced Conformal Symmetry

Abstract

We construct field theories in $2+1$ dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to "subsystem scale invariances", borrowing the language often used for fractons.

arXiv commentChanges made to sections 1,2,and 5, in preparation for submission 14 pages, no figures

References in corpus (11)

• Fractons
• Nonrelativistic conformal field theories
• Fracton Phases of Matter
• SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
• Fracton hydrodynamics
• The Fracton Gauge Principle
• Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry
• Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory
• More Exotic Field Theories in 3+1 Dimensions
• Emergent fractons and algebraic quantum liquid from plaquette melting transitions
• Systematic Constructions of Fracton Theories

Cited by in corpus (11)

• Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
• A Modified Villain Formulation of Fractons and Other Exotic Theories
• The low-energy limit of some exotic lattice theories and UV/IR mixing
• Hydrodynamics of ideal fracton fluids
• Anomaly Inflow for Subsystem Symmetries
• A Non-Relativistic Limit of NS-NS Gravity
• Subsystem Non-Invertible Symmetry Operators and Defects
• World-Line Description of Fractons
• Spontaneously Broken Subsystem Symmetries
• Fractonic plaquette-dimer liquid beyond renormalization
• Non-Lorentzian Avatars of (1,0) Theories