Exotic nonrelativistic string

@article{Casalbuoni2007ExoticNS,
  title={Exotic nonrelativistic string},
  author={Roberto Casalbuoni and Joaquim Gomis and Giorgio Longhi},
  journal={Physical Review D},
  year={2007},
  volume={76},
  pages={126004}
}
We construct a classical nonrelativistic string model in 3+1 dimensions. The model contains a spurion tensor field that is responsible for the noncommutative structure of the model. Under double-dimensional reduction the model reduces to the exotic nonrelativistic particle in 2+1 dimensions. 
View PDF on arXiv
4 Citations

4 Citations

Nonrelativistic string theory sigma model and its canonical formulation

  • J. Klusoň
  • Physics
    The European Physical Journal C
  • 2019
This paper is devoted to the canonical analysis of non-linear sigma model that describes motion of non-relativistic string on stringy Newton–Cartan background. We determine structure of constraints…

Acceleration-enlarged symmetries in nonrelativistic space-time with a cosmological constant

By considering the nonrelativistic limit of de Sitter geometry one obtains the nonrelativistic space-time with a cosmological constant and Newton–Hooke (NH) symmetries. We show that the NH symmetry…

Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry

A nisotropic harm onic oscillator,non-com m utative Landau problem and exotic N ew ton-H ooke sym m etry

W e investigate the planaranisotropic harm onic oscillatorwith explicitrotationalsym m etry asaparticlem odelwith non-com m utativecoordinates.ItincludestheexoticNewton-Hookepar-ticleand thenon-com m…

36 References

Rotating solutions of non-relativistic string theory

Non-relativistic strings and branes as non-linear realizations of Galilei groups

Non-commutative Fluids

We review the connection between non-commutative gauge theory, matrix models and fluid mechanical systems. The non-commutative Chern-Simons description of the quantum Hall effect and bosonization of…

Newton-Hooke algebras, nonrelativistic branes, and generalized pp-wave metrics

The Newton-Hooke algebras in d dimensions are constructed as contractions of dS(AdS) algebras. Nonrelativistic brane actions are WZ terms of these Newton-Hooke algebras. The NH algebras appear also !…

Exotic Galilean symmetry and non-commutative mechanics in mathematical and in condensed matter physics

The ``exotic'' particle model with non-commuting position coordinates, associated with the two-parameter central extension of the planar Galilei group, can be used to derive the ground states of the…

Noncommutative Fluids

We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative Chern-Simons description of the quantum Hall effect and bosonization of…

Anyons, group theory and planar physics

Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an interaction with a…

Particle actions as Wess-Zumino terms for spacetime (super) symmetry groups

Exotic Galilean symmetry in the non-commutative plane and the Hall effect

Quantum mechanics in the non-commutative plane is shown to admit the 'exotic' symmetry of the doubly centrally extended Galilei group. When coupled to a planar magnetic field whose strength is the…

Anyon wave equations and the noncommutative plane