Confined dynamical systems with Carroll or Galilei symmetries

E. Cartan, “Sur les variétés à connexion affine et la théorie de la relativité généralisée. (première partie),” Annales Sci. Ecole Norm. Sup. 40

1923

Earlier work this paper cites.

V. Bargmann, “On Unitary ray representations of continuous groups,” Annals Math. 59

1954

Earlier work this paper cites.

H. Bondi, MGJ. Van der Burg and AWK. Metzner, “Gravitational waves in general relativity. VII. Waves from axi-symmetric isolated systems”, Proc. Roy. Soc. Lond. A 269, 21 (1962); R. K. Sachs, “Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time”, Proc. Roy. Soc. Lond. A 270, 103 (1962)

1962

Earlier work this paper cites.

J.M. Lévy-Leblond, “Une nouvelle limite non-relativiste du group de Poincaré”, Ann. Inst. H. Poincaré

1966

Earlier work this paper cites.

H. Bacry and J. Levy-Leblond, “Possible kinematics,” J. Math. Phys. 9

1968

Earlier work this paper cites.

J.-M. Lévy-Leblond, Galilei group and Galilean invariance

1972

Earlier work this paper cites.

D. Dominici, J. Gomis and G. Longhi, “A Lagrangian for Two Interacting Relativistic Particles. 1.,” Nuovo Cim. B 48

1978

Earlier work this paper cites.

M. Henneaux, “Geometry of Zero Signature Space-times,” Bull. Soc. Math. Belg. 31

1979

Earlier work this paper cites.

K. Kuchar, “Gravitation, Geometry, And Nonrelativistic Quantum Theory,” Phys. Rev. D 22

1980

Earlier work this paper cites.

J.-M. Souriau, ÒStructure des syst‘emes dynamiquesÓ, Dunod (1970, ?c 1969); ÒStructure of Dynamical Systems: A Symplectic View of PhysicsÓ, translated by C.H. Cushman-de Vries (R.H. Cushman and G.M. Tuynman, Translation Editors), Birkh?auser, 1997

1997

Earlier work this paper cites.

U. H. Danielsson, A. Guijosa and M. Kruczenski, “IIA/B, wound and wrapped,” JHEP 0010

2000

Earlier work this paper cites.

J. Gomis and H. Ooguri, “Nonrelativistic closed string theory,” J. Math. Phys. 42

2001

Earlier work this paper cites.

J. A. Garcia, A. Guijosa and J. D. Vergara, Nucl. Phys. B 630

2002

Earlier work this paper cites.

J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys. B 665

2003

Earlier work this paper cites.

G. Arcioni and C. Dappiaggi, “Exploring the holographic principle in asymptotically flat space-times via the BMS group,” Nucl. Phys. B 674

2003

Cited alongside, same era.

J. Gomis, K. Kamimura and P. K. Townsend, “Non-relativistic superbranes,” JHEP 0411

2004

Cited alongside, same era.

J. Brugues, T. Curtright, J. Gomis and L. Mezincescu, “Non-relativistic strings and branes as non-linear realizations of Galilei groups,” Phys. Lett. B 594

2004

Cited alongside, same era.

J. Gomis, J. Gomis and K. Kamimura, “Non-relativistic superstrings: A New soluble sector of AdS(5) x S 5 S^{5} ,” JHEP 0512

2005

Cited alongside, same era.

J. Gomis and F. Passerini, “Rotating solutions of non-relativistic string theory,” Phys. Lett. B 617

2005

Cited alongside, same era.

M. H. Christensen, J. Hartong, N. A. Obers and B. Rollier, “Torsional Newton-Cartan Geometry and Lifshitz Holography,” Phys. Rev. D 89

Original

2014

Later among the works it cites.

E. Bergshoeff, J. Gomis and G. Longhi, “Dynamics of Carroll Particles,” Class. Quant. Grav. 31

Original

2014

Later among the works it cites.

C. Duval, G. W. Gibbons, P. A. Horvathy and P. M. Zhang, “Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time,” Class. Quant. Grav. 31

Original

2014

Later among the works it cites.

Y. Liu, K. Schalm, Y.-W. Sun and J. Zaanen, “Holographic Duality in Condensed Matter Physics,” Cambridge University Press (2015), ISBN: 9781107080089

2015

Later among the works it cites.

E. A. Bergshoeff, J. Hartong and J. Rosseel, “Torsional Newton-Cartan geometry and the Schrödinger algebra,” Class. Quant. Grav. 32