Fetching the paper…
Reading the bibliography…
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries.
1902
Earlier work this paper cites.
L. Donnay and C. Marteau, “Carrollian Physics at the Black Hole Horizon,” Class. Quant. Grav
1903
Earlier work this paper cites.
1905
Earlier work this paper cites.
A. Galajinsky, “Schwarzian mechanics via nonlinear realizations,” Phys. Lett. B
1905
Earlier work this paper cites.
H. Minkowski, “Raum und Zeit..” Deutsche Math.-Ver. 18, 76-88; Phys. Zs. 10, 104-111; Verb. Naturf. Ges. Cöln 80, 2 1 2_{1} , 4-9, 1909
1909
Earlier work this paper cites.
R. P. Feynman, “Mathematical formulation of the quantum theory of electromagnetic interaction,” Phys. Rev
1950
Earlier work this paper cites.
R. P. Feynman, “An Operator calculus having applications in quantum electrodynamics,” Phys. Rev
1951
Earlier work this paper cites.
K. Nomizu, “Invariant affine connections on homogeneous spaces,” Amer. J. Math
1954
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity. VII. Waves from axi-symmetric isolated systems,” Proc. Roy. Soc. London Ser. A
1962
Earlier work this paper cites.
R. K. Sachs, “Gravitational waves in general relativity. VIII. Waves in asymptotically flat space-time,” Proc. Roy. Soc. London Ser. A
1962
Earlier work this paper cites.
H. D. Dombrowski and K. Horneffer, “Die Differentialgeometrie des Galileischen Relativitätsprinzips,” Math. Z
1964
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
J.-M. Lévy-Leblond, “Une nouvelle limite non-relativiste du groupe de Poincaré,” Ann. Inst. H. Poincaré Sect. A (N.S.)
1965
Earlier work this paper cites.
N. Sen Gupta, “On an analogue of the galilei group,” Il Nuovo Cimento A (1965-1970)
1966
Earlier work this paper cites.
H. Bacry and J. Levy-Leblond, “Possible kinematics,” J. Math. Phys
1968
Earlier work this paper cites.
S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 1.,” Phys. Rev
1969
Earlier work this paper cites.
C. G. Callan, Jr., S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 2.,” Phys. Rev
1969
Earlier work this paper cites.
H. P. Künzle, “Galilei and Lorentz structures on space-time: comparison of the corresponding geometry and physics,” Ann. Inst. H. Poincaré Sect. A (N.S.)
1972
Earlier work this paper cites.
U. Niederer, “The maximal kinematical invariance group of the free Schrodinger equation.,” Helv. Phys. Acta
1972
Earlier work this paper cites.
C. R. Hagen, “Scale and conformal transformations in galilean-covariant field theory,” Phys. Rev. D
1972
Earlier work this paper cites.
R. Casalbuoni, J. Gomis, and G. Longhi, “The Relativistic Point Revisited in the Light of the String Model,” Nuovo Cim. A
1974
Earlier work this paper cites.
E. A. Ivanov and V. I. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations,” Teor. Mat. Fiz
1975
Earlier work this paper cites.
V. de Alfaro, S. Fubini, and G. Furlan, “Conformal Invariance in Quantum Mechanics,” Nuovo Cim. A
1976
Earlier work this paper cites.
A. H. Chamseddine and P. C. West, “Supergravity as a Gauge Theory of Supersymmetry,” Nucl. Phys. B
1977
Earlier work this paper cites.
M. Henneaux, “Zero Hamiltonian signature spacetimes,” Bull. Soc. Math. Belg. Sér. A
1979
Earlier work this paper cites.
J. F. Schonfeld, “A Mass Term for Three-Dimensional Gauge Fields,” Nucl. Phys. B
1981
Earlier work this paper cites.
M. Henneaux, M. Pilati, and C. Teitelboim, “Explicit Solution for the Zero Signature (Strong Coupling) Limit of the Propagation Amplitude in Quantum Gravity,” Phys. Lett. B
1982
Earlier work this paper cites.
C. Duval, G. Burdet, H. P. Künzle, and M. Perrin, “Bargmann structures and Newton–Cartan theory,” Phys. Rev. D
1985
Earlier work this paper cites.
H. Bacry and J. Nuyts, “Classification of ten-dimensional kinematical groups with space isotropy,” J. Math. Phys
1986
Earlier work this paper cites.
Springer-Verlag, Berlin, 1987
A. L. Besse, Einstein manifolds · 1987
Earlier work this paper cites.
D. N. Kupeli, “On null submanifolds in spacetimes,” Geom. Dedicata
1987
Earlier work this paper cites.
Springer-Verlag, Berlin, seventh ed., 1988
H. Weyl, Raum. Zeit. Materie · 1988
Earlier work this paper cites.
W. Siegel, “Conformal Invariance of Extended Spinning Particle Mechanics,” Int. J. Mod. Phys. A
1988
Earlier work this paper cites.
E. A. Ivanov, S. O. Krivonos, and V. M. Leviant, “Geometry of Conformal Mechanics,” J. Phys. A
1989
Earlier work this paper cites.
E. A. Ivanov, S. O. Krivonos, and V. M. Leviant, “Geometric superfield approach to superconformal mechanics,” J. Phys. A
1989
Earlier work this paper cites.
G. Dautcourt, “On the Newtonian limit of general relativity,” Acta Phys. Polon. B
1990
Earlier work this paper cites.
Cambridge University Press, Cambridge, second ed., 1990
V. Guillemin and S. Sternberg, Symplectic techniques in physics · 1990
Earlier work this paper cites.
J. P. Gauntlett, J. Gomis, and P. K. Townsend, “Supersymmetry and the physical phase space formulation of spinning particles,” Phys. Lett. B
1990
Earlier work this paper cites.
J. P. Gauntlett, J. Gomis, and P. K. Townsend, “Particle Actions as Wess-Zumino Terms for Space-time (Super)symmetry Groups,” Phys. Lett. B
1990
Earlier work this paper cites.
A. M. Polyakov, “Gauge Transformations and Diffeomorphisms,” Int. J. Mod. Phys. A
1990
Earlier work this paper cites.
C. Duval, G. W. Gibbons, and P. Horvathy, “Celestial mechanics, conformal structures and gravitational waves,” Phys. Rev. D
1991
Earlier work this paper cites.
C. Duval, “On Galileian isometries,” Class. Quant. Grav
1993
Earlier work this paper cites.
J. Isberg, U. Lindström, B. Sundborg, and G. Theodoridis, “Classical and quantized tensionless strings,” Nucl. Phys. B
1994
Earlier work this paper cites.
M. Henkel, “Schrödinger invariance in strongly anisotropic critical systems,” J. Statist. Phys
1994
Earlier work this paper cites.
B. Julia and H. Nicolai, “Null Killing vector dimensional reduction and Galilean geometrodynamics,” Nucl. Phys. B
1995
Cited alongside, same era.
Cambridge University Press, Cambridge, 1995
R. Carter, G. Segal, and I. Macdonald, Lectures on Lie groups and Lie algebras · 1995
Cited alongside, same era.
J. Gomis, J. Herrero, K. Kamimura, and J. Roca, “Diffeomorphisms, nonlinear W symmetries and particle models,” Annals Phys
1995
Cited alongside, same era.
R. De Pietri, L. Lusanna, and M. Pauri, “Standard and generalized Newtonian gravities as ’gauge’ theories of the extended Galilei group. I. The standard theory,” Class. Quant. Grav
1995
Cited alongside, same era.
S. Holst, “Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action,” Phys. Rev. D
1996
Cited alongside, same era.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
E. Bergshoeff, J. Gomis, and G. Longhi, “Dynamics of Carroll Particles,” Class. Quant. Grav
2014
Later among the works it cites.
A. Bagchi, R. Basu, and A. Mehra, “Galilean Conformal Electrodynamics,” JHEP
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. Dautcourt, “PostNewtonian extension of the Newton-Cartan theory,” Class. Quant. Grav
1997
Cited alongside, same era.
Birkhäuser Boston, Inc., Boston, MA, 1997
J.-M. Souriau, Structure of dynamical systems · 1997
Cited alongside, same era.
Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997
H. Weyl, The classical groups · 1997
Cited alongside, same era.
J. A. de Azcárraga, J. M. Izquierdo, J. C. Pérez Bueno, and P. K. Townsend, “Superconformal mechanics and nonlinear realizations,” Phys. Rev. D
1999
Cited alongside, same era.
U. H. Danielsson, A. Güijosa, and M. Kruczenski, “IIA/B, wound and wrapped,” JHEP
2000
Cited alongside, same era.
G. J. Galloway, “Maximum principles for null hypersurfaces and null splitting theorems,” Ann. Henri Poincaré
2000
Cited alongside, same era.
J. Gomis and H. Ooguri, “Nonrelativistic closed string theory,” J. Math. Phys
2001
Cited alongside, same era.
2014
Later among the works it cites.
Cambridge Univ. Press, 2015
J. Zaanen, Y.-W. Sun, Y. Liu, and K. Schalm, Holographic Duality in Condensed Matter Physics · 2015
Later among the works it cites.
J. Hartong, “Gauging the Carroll Algebra and Ultra-Relativistic Gravity,” JHEP
2015
Later among the works it cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2nd ed. ed., 7, 2015
T. Ortín, Gravity and Strings · 2015
Later among the works it cites.
B. Cardona, J. Gomis, and J. M. Pons, “Dynamics of Carroll Strings,” JHEP
2016
Later among the works it cites.
A. Bagchi, S. Chakrabortty, and P. Parekh, “Tensionless Strings from Worldsheet Symmetries,” JHEP
2016
Later among the works it cites.
J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2017
Later among the works it cites.
D. Stanford and E. Witten, “Fermionic Localization of the Schwarzian Theory,” JHEP
2017
Later among the works it cites.
C. Batlle, J. Gomis, and D. Not, “Extended Galilean symmetries of non-relativistic strings,” JHEP
2017
Later among the works it cites.
2017
Later among the works it cites.
C. Batlle, J. Gomis, L. Mezincescu, and P. K. Townsend, “Tachyons in the Galilean limit,” JHEP
2017
Later among the works it cites.
2018
Later among the works it cites.
J. M. Figueroa-O’Farrill, “Kinematical Lie algebras via deformation theory,” J. Math. Phys
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
A. Kitaev and S. J. Suh, “The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual,” JHEP
2018
Later among the works it cites.
2018
Later among the works it cites.
R. M. Nandkishore and M. Hermele, “Fractons,” Ann. Rev. Condensed Matter Phys
2019
Later among the works it cites.
J. Figueroa-O’Farrill and S. Prohazka, “Spatially isotropic homogeneous spacetimes,” JHEP
2019
Later among the works it cites.
M. Henneaux and P. Salgado-Rebolledo, “Carroll contractions of Lorentz-invariant theories,” JHEP
2021
Later among the works it cites.
A. Pérez, “Asymptotic symmetries in Carrollian theories of gravity,” JHEP
2021
Later among the works it cites.
2021
Later among the works it cites.
R. Casalbuoni, J. Gomis, and D. Hidalgo, “Worldline description of fractons,” Phys. Rev. D
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
G. Oling and Z. Yan, “Aspects of Nonrelativistic Strings,” Front. in Phys
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2023
Closest in time.
2023
Closest in time.
V. G. Drinfeld and V. V. Sokolov, “Lie algebras and equations of Korteweg-de Vries type,” J. Sov. Math
2036
Closest in time.