Asymptotic symmetries and soft charges of fractons
arXiv:2203.02817 · doi:10.1103/PhysRevD.106.044017
Abstract
The asymptotic structure of gauge theories describing fracton interactions is analyzed. Two sets of asymptotic conditions are proposed. Both encompass all known solutions, lead to finite charges and resolve the problem of the divergent energy coming from the monopole contribution. While the first set leads to the expected fracton symmetry algebra, including a dipole charge, the second set provides a soft infinite-dimensional extension of it. These soft charges provide evidence of a rich infrared structure for fracton-like theories and provide one corner of a possible fracton infrared triangle.
arXiv comment8 pages, v2: Various minor updates, matches published version
References in corpus (39)
- Quantum Error Correction for Quantum Memories
- Local stabilizer codes in three dimensions without string logical operators
- Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
- Quantum Glassiness
- Fractons
- A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
- Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
- Fracton Phases of Matter
- Analytic and numerical demonstration of quantum self-correction in the 3D Cubic Code
- Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
- Fracton-Elasticity Duality
- Lectures on Celestial Amplitudes
- Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory
- Exotic Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
- Towards classification of Fracton phases: the multipole algebra
- Field Theories With a Vector Global Symmetry
- Fractons, dipole symmetries and curved spacetime
- Emergent Gravity of Fractons: Mach's Principle Revisited
- Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
- Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
- BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
- Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
- Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order
- Asymptotic symmetries of electromagnetism at spatial infinity
- Symmetric Tensor Gauge Theories on Curved Spaces
- Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity
- Fractons from vector gauge theory
- Spatially isotropic homogeneous spacetimes
- Parallelized quantum error correction with fracton topological codes
- Gauging permutation symmetries as a route to non-Abelian fractons
- Fracton physics of spatially extended excitations
- -fractonic Maxwell theory
- World-Line Description of Fractons
- Higher-Rank Tensor Non-Abelian Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether's Theorem, and Gauging
- Asymptotic structure of the Einstein-Maxwell theory on AdS
- Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon
- Gauge Structures: From Stabilizer Codes to Continuum Models
- Holographic subdiffusion
- Fractons in effective field theories for spontaneously broken translations
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