Exotic theta terms in 2+1d fractonic φ-theory induce generalized Witten effects, with vortex operators gaining momentum subsystem charge (quadrupolar for the foliated case).
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A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
Develops a Mille-feuille SymTFT construction that generates foliated and exotic dual bulk theories realizing gapless boundary models with spontaneous continuous subsystem symmetry breaking, including duals of the XY plaquette and XYZ cube models.
The authors introduce fractonic solids via a new symmetry that ties fracton mobility to a material, enabling gauge-invariant momentum, boost compatibility, and gravitational coupling.
The XY-plaquette model is claimed to possess a continuous SO(2) non-invertible duality symmetry at arbitrary coupling, realized by open condensation defects in its symmetry TFT.
The replica-energy filter (1 − d^{-1} L ∂_L) on log Z isolates universal subextensive data in thermal QFT: central charges, sphere free energies, topological degeneracies, fracton degeneracies, and the Euler anomaly.
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
citing papers explorer
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Exotic theta terms in 2+1d fractonic field theory
Exotic theta terms in 2+1d fractonic φ-theory induce generalized Witten effects, with vortex operators gaining momentum subsystem charge (quadrupolar for the foliated case).
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Lattice chiral symmetry from bosons in 3+1d
A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
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SymTFT construction of gapless exotic-foliated dual models
Develops a Mille-feuille SymTFT construction that generates foliated and exotic dual bulk theories realizing gapless boundary models with spontaneous continuous subsystem symmetry breaking, including duals of the XY plaquette and XYZ cube models.
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Fractonic solids
The authors introduce fractonic solids via a new symmetry that ties fracton mobility to a material, enabling gauge-invariant momentum, boost compatibility, and gravitational coupling.
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The Line, the Strip and the Duality Defect
The XY-plaquette model is claimed to possess a continuous SO(2) non-invertible duality symmetry at arbitrary coupling, realized by open condensation defects in its symmetry TFT.
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Nonadditivity in Quantum Field Theory: Replica Energies, Scaling Filters, and the Renormalization Group
The replica-energy filter (1 − d^{-1} L ∂_L) on log Z isolates universal subextensive data in thermal QFT: central charges, sphere free energies, topological degeneracies, fracton degeneracies, and the Euler anomaly.
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Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.