相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。
Article
Astronomy & Astrophysics
Xavier Bekaert et al.
Summary: We demonstrate that the on-shell (electric) conformal Carrollian scalar in any space-time dimension can be understood as the flat-space limit of the singleton representation from the conformal algebra. Furthermore, we establish a connection between the recently proposed higher-spin algebra for Minkowski spacetime and the Poincare enveloping algebra on the corresponding module. This higher-spin algebra is a contraction of the algebra used in Vasiliev's equations and can be constructed similarly from the singleton representation of the conformal algebra. Additionally, we show that the higher-spin extension of the Poincare algebra considered by us is a subalgebra of the symmetries of the conformal Carrollian scalar, represented by a higher-spin version of the (extended) BMS algebra.
Article
Physics, Particles & Fields
Amartya Saha
Summary: The study investigates a source-less 1 + 2D Carrollian CFT, deriving position-space Ward identities and memory effect equations for bulk super-translation and super-rotation. By Fourier transforming these equations, the bulk null-momentum-space leading and sub-leading soft graviton theorems are obtained. Six Carrollian fields are constructed and shown to represent super-rotations and a subset of super-translations. Operator product expansions (OPEs) and commutation relations are related using a temporal step-function, leading to the conclusion that not all six fields can form consistent OPEs, but S-0(+), S-1(+), and T can. The symmetry algebra in these holomorphic-sector OPEs is determined to be Vir Delta/sl(2, R) with an abelian ideal.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Eric Bergshoeff et al.
SciPost Physics Lecture Notes
(2023)
Review
Physics, Multidisciplinary
Kevin T. Grosvenor et al.
Summary: This review discusses effective theories of fractons, a type of excitations with restricted mobility. It covers the emergence of coordinate-dependent symmetries, the description of gapless fractons using elastic duality, and their hydrodynamics.
FRONTIERS IN PHYSICS
(2022)
Article
Mathematics, Applied
L. Marsot
Summary: This paper expands on the known result about the Carroll algebra in 2 + 1 dimensions and computes the associated extended Carroll group and its symplectic geometry. It describes the motion of planar Carroll elementary particles in various conditions, such as free motion, coupling to an electromagnetic field, and coupling to a gravitational field. A comparison is made with the motion of Carroll particles in 3 + 1 dimensions under the same conditions, and the dynamics of Carroll particles with spin are also given.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Physics, Multidisciplinary
Jan de Boer et al.
Summary: Carroll symmetry, arising from the limit of vanishing speed of light, is studied and constraints on the energy-momentum tensor are determined. The findings suggest that Carroll symmetry may be relevant for dark energy and inflation.
FRONTIERS IN PHYSICS
(2022)
Article
Physics, Multidisciplinary
Akash Jain et al.
Summary: This paper couples simple continuum field theories with fracton excitations to curved spacetime backgrounds. Homogeneous and isotropic fracton field theories with a conserved U (1) charge and dipole moment are considered, and coupling to background fields allows for a consistent definition of a stress-energy tensor and the respective Ward identities. Additionally, evidence of a mixed gauge-gravitational anomaly is found in the symmetric tensor gauge theory that naturally couples to conserved dipoles. These results generalize to systems with arbitrarily higher conserved moments, including a conserved quadrupole moment.
Article
Physics, Particles & Fields
Glenn Barnich et al.
Summary: The constrained Hamiltonian analysis of geometric actions is studied and applied to the extended Bondi-Metzner-Sachs group in four dimensions. It is shown that for any Hamiltonian associated with an extended BMS4 generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS4 Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Arjun Bagchi et al.
Summary: Recent attempts at the construction of holography for asymptotically flat spacetime have taken two different routes, namely celestial holography and Carrollian CFT. Celestial holography has generated novel results in asymptotic symmetry and scattering amplitudes, while Carrollian CFT has been used to provide evidence for flat holography in lower dimensions. This study combines ideas from celestial holography and Carrollian CFT to show the potential of 3D Carrollian CFT in computing bulk scattering amplitudes for 4D flat space.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Laura Donnay et al.
Summary: In this paper, we demonstrate that a 3D sourced conformal Carrollian field theory possesses the appropriate kinematic properties to holographically describe gravity in 4D asymptotically flat spacetime. By relating Carrollian operators to celestial operators, the Ward identities of this theory are shown to reproduce those of the 2D celestial CFT, indicating a new set of interplays among gravity in asymptotically flat spacetime, sourced conformal Carrollian field theory, and celestial CFT.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Leo Bidussi et al.
Summary: We study complex scalar theories with dipole symmetry and reveal a theorem that dictates the structure of such theories, indicating that a Gaussian theory with linearly realized dipole symmetry must be Carrollian. We gauge the dipole symmetry through the Noether procedure, resulting in a scalar gauge field and a spatial symmetric tensor gauge field. We develop a worldline theory of mobile objects that couple gauge invariantly to these gauge fields. Additionally, we construct canonical theories of dynamical symmetric tensor gauge fields and obtain scalar charge gauge theories in both Hamiltonian and Lagrangian formalisms. Through calculations, we discover the dispersion relation of the modes of this gauge theory, revealing an analogy with partially massless gravitons. Furthermore, we demonstrate that these fractonic theories couple to Aristotelian geometry, a non-Lorentzian geometry characterized by the absence of boost symmetries. We extend previous results by coupling fracton theories to curved space and time, showing that complex scalar theories with dipole symmetry can be coupled to general Aristotelian geometries as long as the symmetric tensor gauge field remains a background field.
Article
Physics, Particles & Fields
Jose Figueroa-O'Farrill et al.
Summary: The article discusses how the geometry of the asymptotic infinities of Minkowski spacetime can be captured by homogeneous spaces of the Poincare group, describing the structures and embeddings of spaces Ni, Spi, and Ti. It also shows how to reconstruct Minkowski spacetime from its asymptotic geometries.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Alfredo Perez et al.
Summary: This paper analyzes the asymptotic structure of gauge theories describing fracton interactions, proposing two sets of asymptotic conditions. These conditions encompass all known solutions, lead to finite charges, and resolve the issues with divergent energy. The first set yields the expected fracton symmetry algebra, while the second set provides a soft infinite-dimensional extension. These soft charges provide evidence of a rich infrared structure for fracton-like theories and contribute to the exploration of fracton infrared triangle.
Article
Materials Science, Multidisciplinary
Pranay Gorantla et al.
Summary: This study investigates field theories with global dipole symmetries and gauge dipole symmetries. By placing these theories on a lattice and taking the continuum limit, various subtleties in the precise meaning of these symmetries are resolved. The study reveals that different continuum limits lead to different theories with different properties, symmetries, etc. Additionally, the study discovers that certain physical observables are highly dependent on the number of lattice sites, and introduces the concept of timelike global symmetries to explain the mobility restrictions of defects.
Article
Physics, Particles & Fields
Marc Henneaux et al.
Summary: This study explores Carroll-invariant limits of Lorentz-invariant field theories, showing the existence of electric and magnetic limits that can be obtained through similar ultrarelativistic contraction procedures. The advantage of this method is providing an explicit action principle for electrically-contracted or magnetically-contracted dynamics. The Hamiltonian action principle is shown to be Carroll invariant, and explicit Carroll-invariant action principles are constructed for each contraction, with a more subtle description for the magnetic contraction involving an additional pure gauge field.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pablo Rodriguez et al.
Summary: The conformal symmetry algebra in 2D is related to its ultra/non-relativistic version without any limiting process through a nonlinear map of the generators. BMS3 generators emerge from the chiral components of the stress-energy tensor for a generic classical CFT2. Supertranslation generators do not span Noetherian symmetries, but BMS3 becomes a symmetry when the CFT2 is marginally deformed by adding a term to the Hamiltonian. The deformation can be described through the original CFT2 on a curved metric, with BMS3 symmetries arising from deformed conformal Killing equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Roberto Casalbuoni et al.
Summary: This study formulates the worldline approach for field theories of certain fracton models and their symmetries, distinguishing between models based on their energy dispersion relations. To study subsystem symmetries, Routhian functionals associated with particle Lagrangians are constructed, and a pseudoclassical description of spinning fractons is developed.
Review
Physics, Nuclear
Michael Pretko et al.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2020)
Article
Physics, Particles & Fields
Jose Figueroa-O'Farrill et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Astronomy & Astrophysics
Laura Donnay et al.
CLASSICAL AND QUANTUM GRAVITY
(2019)
Article
Physics, Particles & Fields
Arjun Bagchi et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Review
Physics, Condensed Matter
Rahul M. Nandkishore et al.
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 10
(2019)
Article
Materials Science, Multidisciplinary
Michael Pretko
Article
Materials Science, Multidisciplinary
Sagar Vijay et al.
Article
Materials Science, Multidisciplinary
Sagar Vijay et al.
Article
Astronomy & Astrophysics
C. Duval et al.
CLASSICAL AND QUANTUM GRAVITY
(2014)
Article
Astronomy & Astrophysics
Eric Bergshoeff et al.
CLASSICAL AND QUANTUM GRAVITY
(2014)
Article
Astronomy & Astrophysics
C. Duval et al.
CLASSICAL AND QUANTUM GRAVITY
(2014)
Article
Physics, Multidisciplinary
C. Duval et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2014)
Article
Astronomy & Astrophysics
Glenn Barnich et al.
Article
Optics
Jeongwan Haah
Article
Physics, Multidisciplinary
C Chamon
PHYSICAL REVIEW LETTERS
(2005)
