REVIEW 16 cited by
A non-lorentzian primer
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras. Next, we construct actions describing the particle dynamics in some of these kinematical spaces using the method of nonlinear realisations. We explain the relation with the coadjoint orbit method. We continue discussing three types of non-lorentzian gravity theories: Galilei gravity, Newton-Cartan gravity and Carroll gravity. Introducing matter, we discuss electric and magnetic non-lorentzian field theories for three different spins: spin-0, spin-1/2 and spin-1, as limits of relativistic theories.
Forward citations
Cited by 16 Pith papers
-
From Galilei to Euclidean Carroll and the Alice Particle: The Times They Are a-Changin'
Making time transversal turns p-brane Galilei limits into Euclidean p-brane Carroll limits, yielding for p=0 a centrally extended Alice algebra and Alice particle obtained from critical tachyon limits or two-time null...
-
Interacting Galilean and Finite-Energy Carroll Fermions
A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.
-
Stationary solutions in the small-$c$ expansion of GR
The NLO/NNLO small-c (Carroll) expansion of GR admits a rich stationary vacuum sector with rotating Lense-Thirring-type, C-metric-type, Hartle-Thorne-type, and higher-multipole solutions, going beyond the static magne...
-
Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geom...
-
A conformal approach to matter coupled Aristotelian gravity
A conformal extension of the p-brane Aristotelian algebra is used to construct electric, magnetic, and electric-magnetic Aristotelian gravity actions and their matter couplings.
-
Massive and massless particles in Mielke--Baekler geometries
In teleparallel Mielke–Baekler (AdS) spacetimes, spinning particle actions split into regular and critical sectors; the critical massive sector obeys a Papapetrou-like spin-curvature equation, and massless conformal N...
-
Carroll fermions of arbitrary spin
Free massless fermions of arbitrary spin admit two inequivalent Carrollian (c→0) limits, electric and magnetic, derived from the Fang–Fronsdal actions, with the magnetic theory reducible to the projected relativistic ...
-
A unified expansion of Einstein's gravity
A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.
-
Carroll supergravities
Electric and magnetic Carrollian limits of N=1, D=4 supergravity are obtained by Hamiltonian contraction, yielding ultralocal electric and gradient-retaining magnetic theories with simplified constraint algebras.
-
Higher-Order Newton-Cartan Gravity
The authors derive non-relativistic Newton-Cartan limits of quadratic gravity theories, obtaining higher-order corrected Poisson equations for Einstein-Gauss-Bonnet and Ricci-squared gravity.
-
Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations
Tensionless p-branes and branes in degenerate-metric spacetimes admit symmetry transformations built from Killing tensors of arbitrary rank, extending string W-symmetries to all brane dimensions.
-
Quantization of Carrollian fermions
A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.
-
On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
-
Carrollian Quantum Mechanics: Time-like, Space-like and Hybrid Sectors
A c→0 contraction of the Klein-Gordon equation yields three Carrollian quantum sectors, and the time-like sector shows temporal tunneling with |T|²=1+|R|².
-
An Introduction to String Newton-Cartan Holography and Integrability
String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.
-
A Century of Group Theory in Particle Physics and Beyond
A historical and pedagogical survey of group theory's role in particle physics, statistical mechanics, and a quantum-group model of the genetic code.
Discussion (0). Continue with ORCID to comment.