Skip to main content
Log in

Hopf-Algebra Description of Noncommutative-Spacetime Symmetries

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

A brief summary is given of the results reported in [hep-th/0306013], in collaboration with G. Amelino-Camelia and F. D'Andrea. It is focused on the analysis of the symmetries of κ-Minkowski noncommutative spacetime, described in terms of a Weyl map. The commutative-spacetime notion of Lie-algebra symmetries must be replaced by the one of Hopf-algebra symmetries. However, in the Hopf-algebra sense, it is possible to construct an action in κ-Minkowski, which is invariant under a 10-generators Poincaré-like symmetry algebra.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Matusis, L. Susskind, and N. Toumbas: JHEP 0012 (2000) 002. M.R. Douglas and N.A. Nekrasov: Rev. Mod. Phys. 73 (2001) 977.

    Google Scholar 

  2. A. Agostini, G. Amelino-Camelia, and F. D'Andrea: hep-th/0306013.

  3. S. Majid and H. Ruegg: Phys. Lett. B 334 (1994) 348.

  4. J. Lukierski, A. Nowicki, and H. Ruegg: Ann. Phys. 243 (1995) 90.

  5. J. Kowalski-Glikman, and S. Nowak: Int. J. Mod. Phys. D 12 (2003) 299.

    Google Scholar 

  6. G. Amelino-Camelia: Int. J. Mod. Phys. D 11 (2002) 35; Phys. Lett. B 510 (2001) 255.

    Google Scholar 

  7. G. Amelino-Camelia, J. Ellis, N.E. Mavromatos, D.V. Nanopoulos, and S. Sarkar: Nature 393 (1998) 763. G. Amelino-Camelia and T. Piran: Phys. Rev. D 64 (2001) 036005. G. Amelino-Camelia, F. D'Andrea, and G. Mandanici: hep-th/0211022.

  8. G. Amelino-Camelia and S. Majid: Int. J. Mod. Phys. A 15 (2000) 4301.

    Google Scholar 

  9. A. Agostini, F. Lizzi, and A. Zampini: Mod. Phys. Lett. A 17 (2002) 2105.

    Google Scholar 

  10. R. Oeckl: J. Math. Phys. 40 (1999) 3588. Czech. J. Phys. 53 (2003) 961

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Agostini, A. Hopf-Algebra Description of Noncommutative-Spacetime Symmetries. Czechoslovak Journal of Physics 53, 955–961 (2003). https://doi.org/10.1023/B:CJOP.0000010518.07542.61

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CJOP.0000010518.07542.61

Navigation