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(k,n)-fractonic Maxwell theory

Shenoy, VB and Moessner, R (2020) (k,n)-fractonic Maxwell theory. In: Physical Review B, 101 (8).

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Official URL: https://doi.org/10.1103/PhysRevB.101.085106


Fractons emerge as charges with reduced mobility in a class of gauge theories. Here, we generalize fractonic theories of U(1) type to what we call (k,n)-fractonic Maxwell theory, which employs symmetric rank-n tensors of k forms (rank-k antisymmetric tensors) as "vector potentials." The generalization, valid in any spatial dimension d, has two key manifestations. First, the objects with mobility restrictions extend beyond simple charges to higher-order multipoles (dipoles, quadrupoles, etc.) all the way to (n-1)th-order multipoles, which we call the order-n fracton condition. Second, these fractonic charges themselves are characterized by tensorial densities of (k-1)-dimensional extended objects. For any (k,n), the theory can be constructed to have a gapless "photon modes" with dispersion ω∼|q|z, where the integer z can range from 1 to n.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Anti-symmetric; Extended objects; Gauge theory; Higher-order; Maxwell theory; Mobility restrictions; Spatial dimension; Vector potential, Tensors
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 16 Feb 2023 10:51
Last Modified: 16 Feb 2023 10:51
URI: https://eprints.iisc.ac.in/id/eprint/79439

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