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Fractons and other subdimensional particles are an exotic class of emergent quasi-particle excitations with severely restricted mobility. A wide class of models featuring these quasi-particles have a natural description in the language of…

Strongly Correlated Electrons · Physics 2019-08-21 Kevin Slagle , Abhinav Prem , Michael Pretko

Memory effects in scattering processes are described in terms of the asymptotic retarded fields. These fields are completely determined by the scattering data and the zero mode part is set by the soft photon theorem. The dressed asymptotic…

High Energy Physics - Theory · Physics 2017-10-25 Cesar Gomez , Raoul Letschka

Fractons emerge as charges with reduced mobility in a new class of gauge theories. Here, we generalise fractonic theories of $U(1)$ type to what we call $(k,n)$-fractonic Maxwell theory, which employs symmetric order-$n$ tensors of…

Strongly Correlated Electrons · Physics 2020-02-12 Vijay B. Shenoy , Roderich Moessner

We present an effective field theory approach to the Fracton phases. The approach is based the notion of a multipole algebra. It is an extension of space(-time) symmetries of a charge-conserving matter that includes global symmetries…

Strongly Correlated Electrons · Physics 2019-09-04 Andrey Gromov

We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter. The resulting gauge symmetry…

High Energy Physics - Theory · Physics 2022-07-20 Alberto Blasi , Nicola Maggiore

Fractons are exotic quasiparticles whose mobility in space is restricted by symmetries. In potential real-world realisations, fractons are likely lodged to a physical material rather than absolute space. Motivated by this, we propose and…

High Energy Physics - Theory · Physics 2026-05-22 Akash Jain

We consider theories of fractons with $N$ fields. These theories have exotic spacetime symmetries, including a conserved dipole moment. Using collective fields we solve these models to leading order in large $N$. The large $N$ solution…

High Energy Physics - Theory · Physics 2022-05-04 Kristan Jensen , Amir Raz

The universality of the logarithmic soft photon theorem in four dimensions can be traced to an infinite-dimensional asymptotic symmetry which acts as a local phase rotation on matter as we have shown in 2403.13053. Here we extend our…

High Energy Physics - Theory · Physics 2025-09-23 Sangmin Choi , Alok Laddha , Andrea Puhm

The objective of the present work -- a literature review on both gapped and gapless fractonic theories -- is to pedagogically fill in the gaps between the research on fractons, and an undergraduate physics education (particularly quantum…

Strongly Correlated Electrons · Physics 2022-06-29 Jason Bennett

Fractons are a type of emergent quasiparticle which cannot move freely in isolation, but can easily move in bound pairs. Similar phenomenology is found in boson-affected hopping models, encountered in the study of polaron systems and…

Strongly Correlated Electrons · Physics 2021-01-12 John Sous , Michael Pretko

A framework that structures the gravitational memory effects and which is consistent with gravitational electric-magnetic duality is presented. A correspondence is described between memory observables, particular subleading residual gauge…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Geoffrey Compère

This work reports an extensive study of three-dimensional topological ordered phases that, in one of the directions behave like usual topological order concerning mobility of excitations, but in the perpendicular plane manifest type-II…

Strongly Correlated Electrons · Physics 2024-12-12 Heitor Casasola , Guilherme Delfino , Yizhi You , Paula F. Bienzobaz , Pedro R. S. Gomes

The logarithmic soft photon theorem in four spacetime dimensions encodes an infinite-dimensional asymptotic symmetry which acts on massive matter as a divergent superphaserotation. Here we extend this result to massless matter which is both…

High Energy Physics - Theory · Physics 2026-01-12 Sangmin Choi , Ameya Kadhe , Andrea Puhm

Fractons are gapped point-like excitations in $d=3$ topological ordered phases whose motion is constrained. They have been discovered in several gapped models but a unifying physical mechanism for generating them is still missing. It has…

Strongly Correlated Electrons · Physics 2018-07-13 Han Ma , Michael Hermele , Xie Chen

Gravitational waves from merging compact objects provides the opportunity to explore the properties of black holes and neutron stars in the strong regime of gravity. It is therefore of interest to explore the theoretical model that…

High Energy Physics - Theory · Physics 2023-01-24 Irvin Martinez

We show that large gauge transformations in asymptotically flat spacetime can be implemented by sandwiching a shell containing the ingoing hard particles between two finite-width shells of soft gauge excitations. Integration of the graviton…

High Energy Physics - Theory · Physics 2017-11-01 Raphael Bousso , Massimo Porrati

We design a set of classical macroscopic electric circuits in which charge exhibits the mobility restrictions of fracton quasiparticles. The crucial ingredient in these circuits is a transformer, which induces currents between pairs of…

Strongly Correlated Electrons · Physics 2019-12-11 Michael Pretko

We offer a fractonic perspective on a familiar observation -- a flat sheet of paper can be folded only along a straight line if one wants to avoid the creation of additional creases or tears. Our core underlying technical result is the…

Strongly Correlated Electrons · Physics 2021-08-11 Nandagopal Manoj , Roderich Moessner , Vijay B. Shenoy

Fracton theories possess exponentially degenerate ground states, excitations with restricted mobility, and nontopological higher-form symmetries. This paper shows that such theories can be defined on arbitrary spatial lattices in three…

Strongly Correlated Electrons · Physics 2020-03-10 Djordje Radicevic

We present a realization of fracton-elasticity duality purely formulated in terms of ordinary gauge fields, encompassing standard elasticity and incommensurate crystals as those describing twisted bilayer graphene, quasicrystals or more…

Strongly Correlated Electrons · Physics 2023-01-04 Alessio Caddeo , Carlos Hoyos , Daniele Musso