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Article
Physics, Particles & Fields
Sabrina Pasterski
Summary: In this study, we demonstrate the matching of the 1-loop exact correction to the subleading soft graviton theorem with the quadratic corrections to the soft charges computed from the BMS flux algebra. We also analyze how the BMS flux construction extends the celestial diamond framework to non-linear order and non-trivial vacua, and provides the natural symmetry generators for Celestial CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Arjun Bagchi et al.
Summary: This paper focuses on the 2d Conformal Carroll symmetry and the 3d Bondi-Metzner-Sachs (BMS) algebra. Three different massless Carroll scalar field theories are discovered, including a newly found mixed-derivative theory. All three theories exhibit BMS invariance on-shell, but the mixed-derivative theory only has a single Virasoro algebra as its on-shell symmetry. Potential applications to tensionless strings and flat holography are discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(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
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
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
Laura Donnay et al.
Summary: This study demonstrates that the one-loop exact subleading soft graviton theorem can be derived automatically from the conservation of BMS charges. This confirms the genuine symmetries of the gravitational S-matrix beyond the semiclassical regime. In addition, the celestial stress tensor accounting for the one-loop corrections is found through gravitational phase space analysis, without the need for divergent counterterms. Furthermore, the symplectic form on the radiative phase space is shown to factorize into hard and soft sectors, with the resulting canonical generators precisely matching the correct BMS fluxes.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Arjun Bagchi et al.
Summary: In this paper, we demonstrate how BMS symmetries can be achieved by infinite boosts or degenerate linear transformations. By taking cues from the worldsheet theory of null strings, we show that boosting the system is equivalent to adding a current-current deformation term to the Hamiltonian. As the strength of this term reaches a critical value, the classical symmetry algebra flows from two copies of Virasoro to the BMS algebra. We also explore asymmetric transformations of CFT coordinates, leading to chiral theories in degenerate limits.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Anastasios C. Petkou et al.
Summary: This article comprehensively studies Galilean and Carrollian hydrodynamics on arbitrary backgrounds, taking into account a matter/charge conserved current. Through two distinct and complementary methods, the results agree that the second approach is superior and can capture more complex situations with multiple degrees of freedom. Additionally, the study investigates the fate of hydrodynamic-frame invariance in the two limits, concluding that its breaking or preservation depends on the behavior of transport attributes at large or small speed of light. The research also reveals that conserved currents are not always guaranteed in Newton-Cartan or Carroll spacetimes due to Galilean or Carrollian isometries. Comparing the fluid equations of Galilean and Carrollian hydrodynamics, a superficial resemblance is found and commented on in relation to black-hole horizon dynamics, resembling Navier-Stokes equations. However, in one instance, the congruity turns out to describe Aristotelian dynamics.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Dennis Hansen et al.
Summary: In this study, we investigate the small speed of light expansion in general relativity using a modern perspective on non-Lorentzian geometry. We focus on the ultra-local Car-roll limit and examine the associated Carroll geometry and geometric fields. The concept of mass only emerges at the next-to-leading order, and we also discuss the inclusion of a cosmological constant in our analysis.
Article
Astronomy & Astrophysics
David Rivera-Betancour et al.
Summary: In this study, we investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension and reveal the dynamics of electric and magnetic fields. We provide the energy, momenta, and conservation equations for the field in both cases. The conservation and nonconservation properties resulting from the existence of conformal isometries and associated charges are discussed. We illustrate these results by considering a scalar field propagating on the null boundary of four-dimensional Ricci-flat Robinson-Trautman spacetimes.
Article
Astronomy & Astrophysics
Peng-xiang Hao et al.
Summary: This paper investigates a free scalar theory in two dimensions exhibiting BMS3 symmetry, finding central charges cL = 2 and cM = 0 upon canonical quantization on the highest weight vacuum, leading to novel properties such as the existence of primary states forming a multiplet and an enlarged version of BMS modules called staggered modules.
Review
Physics, Particles & Fields
Sabrina Pasterski
Summary: The lecture notes prepared for the 2021 SAGEX PhD School in Amplitudes hosted by the University of Copenhagen from August 10th to 13th cover topics such as the manifestation of asymptotic symmetries via soft theorems, their organization into currents in a celestial CFT, aspects of the holographic dictionary, a literature guide, and accompanying exercises.
EUROPEAN PHYSICAL JOURNAL C
(2021)
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
Nishant Gupta et al.
Summary: We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories emerging in three (and higher) dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Kevin T. Grosvenor et al.
Summary: The heat kernel method developed is suitable for studying the renormalization group flow in Hoava gravity, maintaining covariance and applicable to operators with spin structures in arbitrary dimensions. It has been successfully applied to compute the anisotropic Weyl anomaly and evaluate one-loop effective actions of general scalar operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Arjun Bagchi et al.
Summary: A recent careful quantisation study of the theory of closed bosonic tensionless strings has revealed three separate vacua with different critical dimensions. One vacuum imposes no constraint on the number of dimensions, while the other two lead to D = 26. This suggests that all three tensionless quantum theories can be considered as consistent sub-sectors of quantum tensile bosonic closed string theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Arjun Bagchi et al.
Summary: This paper investigates anomalies in two-dimensional field theories with Bondi-Metzner-Sachs symmetry, focusing on the breakdown of Weyl invariance in BMS and deriving an expression for the Weyl anomaly. By considering the transformation of partition functions under this symmetry, a Carrollian Liouville action different from previous literature is derived.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Jacome Armas et al.
Summary: The research presents the formulation of the Schwinger-Keldysh effective field theory of hydrodynamics without boost symmetry and explores various transport coefficients and fluctuation modes. The new hydrodynamic framework provides a unified stable approach for studying different types of fluids.
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Dennis Hansen et al.
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(2020)
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Igor Novak et al.
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(2020)
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Luca Ciambelli et al.
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Napat Poovuttikul et al.
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Luca Ciambelli et al.
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Robert F. Penna
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