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Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts of) Wigner particles in any vacuum…

Mathematical Physics · Physics 2017-09-26 Wojciech Dybalski , Yoh Tanimoto

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

We study field theories with global dipole symmetries and gauge dipole symmetries. The famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in detail its 1+1d version with a compact field. When this…

Strongly Correlated Electrons · Physics 2022-07-20 Pranay Gorantla , Ho Tat Lam , Nathan Seiberg , Shu-Heng Shao

Motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete manifestation of the fracton phenomenon in an ordinary solid.…

Strongly Correlated Electrons · Physics 2018-08-27 Michael Pretko , Leo Radzihovsky

A new class of strongly infrared active structures is identified for phase III of compressed molecular H2 by constant-pressure ab initio molecular dynamics and density-functional perturbation calculations. These are planar quadrupolar…

Materials Science · Physics 2009-10-31 Jorge Kohanoff , Sandro Scandolo , Stefano de Gironcoli , Erio Tosatti

Fracton phases of matter feature a variety of exciting phenomena stemming from the restricted mobility of their quasiparticles. Here we consider a model of interacting electrons in one dimension that describes hopping of spin-singlet pairs…

Strongly Correlated Electrons · Physics 2021-02-03 Hernan B. Xavier , Rodrigo G. Pereira

We examine the hydrodynamics of systems with spontaneously broken multipolar symmetries using a systematic effective field theory. We focus on the simplest non-trivial setting: a system with charge and dipole symmetry, but without momentum…

Statistical Mechanics · Physics 2023-12-12 Charles Stahl , Marvin Qi , Paolo Glorioso , Andrew Lucas , Rahul Nandkishore

We study complex scalar theories with dipole symmetry and uncover a no-go theorem that governs the structure of such theories and which, in particular, reveals that a Gaussian theory with linearly realised dipole symmetry must be…

High Energy Physics - Theory · Physics 2022-07-19 Leo Bidussi , Jelle Hartong , Emil Have , Jørgen Musaeus , Stefan Prohazka

We investigate the nature of infrared divergences for the free graviton and inflaton two-point functions in flat Friedman-Lema\^{\i}tre-Robertson-Walker spacetime. These divergences arise because the momentum integral for these two-point…

General Relativity and Quantum Cosmology · Physics 2018-05-04 Atsushi Higuchi , Nicola Rendell

Fractons are particles that cannot move in one or more directions without paying energy proportional to their displacement. Here, we introduce the concept of symmetry enforced fractonicity, in which particles are fractons in the presence of…

Strongly Correlated Electrons · Physics 2019-07-18 Ajesh Kumar , Andrew C. Potter

It is well known that the long-range nature of the Coulomb interaction makes the definition of asymptotic ``in'' and ``out'' states of charged particles problematic in quantum field theory. In particular, the notion of a simple particle…

High Energy Physics - Theory · Physics 2008-11-26 S. Gulzari , J. Swain , A. Widom

One characteristic feature of many fractonic lattice models, and a defining property of the exotic field theories developed to describe them, are subsystem symmetries including a conservation of not just net electric charge but also…

High Energy Physics - Theory · Physics 2023-05-10 Saba Asif Baig , Jacques Distler , Andreas Karch , Amir Raz , Hao-Yu Sun

Recent work has established the existence of stable quantum phases of matter described by symmetric tensor gauge fields, which naturally couple to particles of restricted mobility, such as fractons. We focus on a minimal toy model of a rank…

Strongly Correlated Electrons · Physics 2017-08-02 Michael Pretko

The conventional gravitational memory effect is a relative displacement in the position of two detectors induced by radiative energy flux. We find a new type of gravitational `spin memory' in which beams on clockwise and counterclockwise…

High Energy Physics - Theory · Physics 2017-02-01 Sabrina Pasterski , Andrew Strominger , Alexander Zhiboedov

We broaden the scope of quantum field theory by introducing a general class of discrete gauge theories that realize either topological order or fracton behavior across dimensions. We start from translation-invariant systems endowed with…

Strongly Correlated Electrons · Physics 2026-01-21 Guilherme Delfino , Claudio Chamon , Yizhi You

We review what is known about fracton phases of quantum matter. Fracton phases are characterized by excitations that exhibit restricted mobility, being either immobile under local Hamiltonian dynamics, or mobile only in certain directions.…

Strongly Correlated Electrons · Physics 2019-03-19 Rahul M. Nandkishore , Michael Hermele

It is demonstrated that it is possible to find a field theory containing massless scalar particles which has infrared structure closely resembling that of quantum electrodynamics and perturbative quantum gravity but exhibiting no gauge…

High Energy Physics - Theory · Physics 2022-12-07 Shovon Biswas , Gordon W. Semenoff

We revisit a model for gapped fractonic order in (2+1) dimensions (a symmetric-traceless tensor gauge theory with conservation of dipole and trace-quadrupole moments described in \cite{Prem:2017kxc}) and compute its ground-state…

Strongly Correlated Electrons · Physics 2021-09-03 Jackson R. Fliss

Fractons are particles with restricted mobility. We give a symmetry-based derivation of effective field theories of gapless phases with fractonic topological defects, such as solids and supersolids, using a coset construction. The resulting…

Strongly Correlated Electrons · Physics 2022-05-12 Yuji Hirono , Yong-Hui Qi

We study D-brane instantons in systems of D3-branes at toric CY 3-fold singularities. The instanton effect can be described as a backreaction modifying the geometry of the mirror configuration, in which the breaking of $U(1)$ symmetries by…

High Energy Physics - Theory · Physics 2018-12-05 Sebastian Franco , Eduardo García-Valdecasas , Angel Uranga