1.

Lie symmetries of nonrelativistic and relativistic motions
/ Batlle, Carles ; Gomis, Joaquim ; Ray, Sourya ; Zanelli, Jorge
We study the Lie symmetries of nonrelativistic and relativistic higher order constant motions in $d$ spatial dimensions, i.e., constant acceleration, constant rateofchangeofacceleration (constant jerk), and so on. [...]
Published in Physical Review D 99 (2019)
10.1103/PhysRevD.99.064015

2.

Vector SUSY models with Carroll or Galilei invariance
/ Barducci, Andrea ; Casalbuoni, Roberto ; Gomis, Joaquim
The general method introduced in a previous paper to build up a class of models invariant under generalization of Carroll and Galilei algebra is extended to systems including a set of Grassmann variables describing the spin degree of freedom. [...]
Published in Physical Review D 99 (2019)
10.1103/PhysRevD.99.045016
arXiv:1811.12672
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3.

Confined dynamical systems with Carroll and Galilei symmetries
/ Barducci, Andrea ; Casalbuoni, Roberto ; Gomis, Joaquim
We introduce a general method to construct, directly in configuration space, classes of dynamical systems invariant under generalizations of the Carroll and of the Galilei groups. [...]
Published in Physical Review D 98 (2018)
10.1103/PhysRevD.98.085018
arXiv:1804.10495
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4.

Nonrelativistic Maxwell ChernSimons gravity
/ Avilés, Luis ; Frodden, Ernesto ; Gomis, Joaquim ; Hidalgo, Diego ; et al
We consider a nonrelativistic ( NR ) limit of (2 + 1)dimensional Maxwell ChernSimons ( CS ) gravity with gauge algebra [Maxwell] ⊕ u (1) ⊕ u (1). [...]
Published in JHEP 1805 (2018) 047
10.1007/JHEP05(2018)047
arXiv:1802.08453
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5.

Nonrelativistic spinning particle in a NewtonCartan background
/ Barducci, Andrea ; Casalbuoni, Roberto ; Gomis, Joaquim
We construct the action of a nonrelativistic spinning particle moving in a general torsionless NewtonCartan background. [...]
Published in JHEP 1801 (2018) 002
10.1007/JHEP01(2018)002
arXiv:1710.10970
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6.

On free Lie algebras and particles in electromagnetic fields
/ Gomis, Joaquim ; Kleinschmidt, Axel
The Poincaré algebra can be extended (noncentrally) to the Maxwell algebra and beyond. [...]
Published in JHEP 1707 (2017) 085
10.1007/JHEP07(2017)085
arXiv:1705.05854
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7.

Tachyons in the Galilean limit
/ Batlle, Carles ; Gomis, Joaquim ; Mezincescu, Luca ; Townsend, Paul
The Souriau massless Galilean particle of “colour” k and spin s is shown to be the Galilean limit of the Souriau tachyon of mass m = ik and spin s . [...]
Published in JHEP 1704 (2017) 120
10.1007/JHEP04(2017)120
arXiv:1702.04792
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8.

Carroll versus Galilei gravity
/ Bergshoeff, Eric ; Gomis, Joaquim ; Rollier, Blaise ; Rosseel, Jan ; et al
We consider two distinct limits of General Relativity that in contrast to the standard nonrelativistic limit can be taken at the level of the EinsteinHilbert action instead of the equations of motion. [...]
Published in JHEP 1703 (2017) 165
10.1007/JHEP03(2017)165
arXiv:1701.06156
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9.

The Galilean superstring
/ Gomis, Joaquim ; Townsend, Paul
The action for a Galilean superstring is found from a nonrelativistic limit of the closed GreenSchwarz (GS) superstring; it has zero tension and provides an example of a massless superGalilean system. [...]
Published in JHEP 1702 (2017) 105
10.1007/JHEP02(2017)105
arXiv:1612.02759
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10.

Extended Galilean symmetries of nonrelativistic strings
/ Batlle, Carles ; Gomis, Joaquim ; Not, Daniel
We consider two nonrelativistic strings and their Galilean symmetries. [...]
Published in JHEP 1702 (2017) 049
10.1007/JHEP02(2017)049
arXiv:1611.00026
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