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Motivated by the prediction of fractonic topological defects in a quantum crystal, we utilize a reformulated elasticity duality to derive a description of a fracton phase in terms of coupled vector U(1) gauge theories. The fracton order and…

Strongly Correlated Electrons · Physics 2020-02-12 Leo Radzihovsky , Michael Hermele

We discuss certain structural analogies between supersymmetric quiver gauge theories and lattice models leading to fracton phases of matter. In particular, classes of quiver models can be viewed as lattice models having sub-system…

High Energy Physics - Theory · Physics 2021-10-04 Shlomo S. Razamat

Fractons, excitations with restricted mobility, have emerged as a novel paradigm in high-energy and condensed matter physics, revealing deep connections to gauge theories and gravity. Here, we propose a tensorial generalization of…

High Energy Physics - Theory · Physics 2025-07-08 Erica Bertolini , Giandomenico Palumbo

The experimental progress in synthesizing low-dimensional nanostructures where carriers are confined to bent surfaces has boosted the interest in the theory of quantum mechanics on curved two-dimensional manifolds. It was recently asserted…

Mesoscale and Nanoscale Physics · Physics 2012-12-03 Carmine Ortix , Jeroen van den Brink

Supersymmetric gauge theories have played a central role in applications of quantum field theory to mathematics. Topologically twisted supersymmetric gauge theories often admit a rigorous mathematical description: for example, the Donaldson…

Quantum Algebra · Mathematics 2017-11-22 Kevin Costello , Claudia Scheimbauer

We consider the covariant gauge field theory of fractons, which describe a new type of quasiparticles exhibiting novel and nontrivial properties. In particular, we focus on the field theoretical peculiarities which characterize this theory,…

High Energy Physics - Theory · Physics 2023-04-24 Erica Bertolini , Alberto Blasi , Andrea Damonte , Nicola Maggiore

We analyze the curvaton scenario in the context of supersymmety. Supersymmetric theories contain many scalars, and therefore many curvaton candidates. To obtain a scale invariant perturbation spectrum, the curvaton mass should be small…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marieke Postma

We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Daisuke Yoshida , Robert H. Brandenberger

We demonstrate the existence of a fundamentally new type of excitation, fractonic lines, which are line-like excitations with the restricted mobility properties of fractons. These excitations, described using an amalgamation of higher-form…

Strongly Correlated Electrons · Physics 2019-04-08 Shriya Pai , Michael Pretko

We develop worldline formulations of covariant fracton gauge theories. These are a one-parameter family of gauge theories of a rank-two symmetric tensor field, invariant under a scalar gauge transformation involving a double derivative.…

High Energy Physics - Theory · Physics 2026-02-10 Filippo Fecit , Davide Rovere

Fractons, characterized by restricted mobility and governed by higher-moment conservation laws, represent a novel phase of matter with deep connections to tensor gauge theories and emergent gravity. This work systematically explores the…

High Energy Physics - Theory · Physics 2025-08-26 M. M. Ahmadi-Jahmani , A. Parvizi

Dipole charge conservation forces isolated charges to be immobile fractons. These couple naturally to spatial two-index symmetric tensor gauge fields that resemble a spatial metric. We propose a spacetime Lorentz covariant version of dipole…

High Energy Physics - Theory · Physics 2024-03-12 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

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

We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT…

High Energy Physics - Theory · Physics 2022-05-25 Valentin Benedetti , Horacio Casini , Javier M. Magan

I discuss gauge and global symmetries in particle physics, condensed matter physics, and quantum gravity. In a modern understanding, global symmetries are approximate and gauge symmetries may be emergent. (Based on a lecture at the April,…

High Energy Physics - Theory · Physics 2018-03-14 Edward Witten

We discuss the dynamics of a classical spinless quantum particle carrying electric charge and constrained to move on a non singular static surface in ordinary three dimensional space in the presence of arbitrary configurations of time…

Quantum Physics · Physics 2015-05-14 B. Jensen , R. Dandoloff

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to the scenario in which the soft terms of the low-energy fields are induced by gravity. These theories allow for a natural suppression of flavour…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. F. Giudice , R. Rattazzi

In this work we explore the interplay between global symmetry and the mobility of quasiparticle excitations. We show that fractonic matter naturally appears in a three dimensional U(1) gauge theory, enriched by global U(1) and translational…

Strongly Correlated Electrons · Physics 2019-09-26 Dominic J. Williamson , Zhen Bi , Meng Cheng

Theories of gravity are fundamentally a relation between matter and the geometric structure of the underlying spacetime. So once we put some additional restrictions on the spacetime geometry, the theory of gravity is bound to get the…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Tee-How Loo , Avik De , Simran Arora , P. K. Sahoo

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