A covariant Maxwell-like fracton theory is constructed in 6D with a symmetric tensor gauge field whose scalar gauge symmetry enforces charge and dipole conservation, restricting isolated charges to immobility.
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L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.
Z_N bivariate-bicycle codes have essential topological properties determined by their Z_p prime-factor counterparts, enabling generalization of algebraic-geometric methods to anyon fusion rules and resolution of quasifractonic behavior via symmetry-enriched topological order.
The excitation-detector principle is equivalent to perfectness of the quadratic form on the excitation module, which is necessary and conjectured sufficient for the compactified 2D theory to be modular.
An algorithm converts topological data of 2D bulk stabilizer codes into 1D boundary subsystem codes via operator algebra and normal forms, enabling automatic generation of boundaries and defects demonstrated on toric, color, and other codes.
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.
A rank-4 tensor gauge theory yields emergent fracton strings with a new generalised dipole conservation law for closed strings and reduces to linearised area-metric gravity in a suitable limit.
The review summarizes evidence for a crossover to many-body localization in finite quantum systems like the XXZ model and notes its potential link to quantum computing.
citing papers explorer
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Covariant Fracton Electrodynamics in Six Dimensions
A covariant Maxwell-like fracton theory is constructed in 6D with a symmetric tensor gauge field whose scalar gauge symmetry enforces charge and dipole conservation, restricting isolated charges to immobility.
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$L_\infty$-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings
L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.
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Symmetry-enriched topological order and quasifractonic behavior in $\mathbb{Z}_N$ stabilizer codes
Z_N bivariate-bicycle codes have essential topological properties determined by their Z_p prime-factor counterparts, enabling generalization of algebraic-geometric methods to anyon fusion rules and resolution of quasifractonic behavior via symmetry-enriched topological order.
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Excitation-detector principle and the algebraic theory of planon-only abelian fracton orders
The excitation-detector principle is equivalent to perfectness of the quadratic form on the excitation module, which is necessary and conjectured sufficient for the compactified 2D theory to be modular.
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Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
An algorithm converts topological data of 2D bulk stabilizer codes into 1D boundary subsystem codes via operator algebra and normal forms, enabling automatic generation of boundaries and defects demonstrated on toric, color, and other codes.
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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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Emergent fracton strings from covariant bi-form gauge field theory
A rank-4 tensor gauge theory yields emergent fracton strings with a new generalised dipole conservation law for closed strings and reduces to linearised area-metric gravity in a suitable limit.
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Many-body localization
The review summarizes evidence for a crossover to many-body localization in finite quantum systems like the XXZ model and notes its potential link to quantum computing.