Covariant fracton gauge theory with boundary

Abstract

In this paper we study the consequences of the introduction of a flat boundary on a 4D covariant rank-2 gauge theory described by a linear combination of linearized gravity and covariant fracton theory. We show that this theory gives rise to a Maxwell-Chern-Simons-like theory of two rank-2 traceless symmetric tensor fields. This induced 3D theory can be physically traced back to the traceless scalar charge theory of fractons, where the Chern-Simons-like term plays the role of a matter contribution. By further imposing time reversal invariance on the boundary, the Chern-Simons-like term disappears. Importantly, on the boundary of our 4D gauge theory we find a generalized U(1) Kaç-Moody algebra and the induced 3D theory is characterized by the conservation of the dipole moment.

37 pages, to appear in Physical Review D

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Cited by in corpus (13)

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• Covariant Interacting Fractons
• Hall-like behaviour of higher rank Chern-Simons theory of fractons
• Quasi-topological fractons: a 3D dipolar gauge theory
• Fractonic self-duality and covariant magnetic fractons
• Strings as Hyper-Fractons
• Fractonic superfluids. III. Hybridizing higher moments
• Covariant field theory of 3D massive fractons
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Emergent fracton strings from covariant bi-form gauge field theory
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• Edge physics and the Casimir interaction in Maxwell-Chern-Simons theory on a strip
• Covariant Fracton Electrodynamics in Six Dimensions