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Paper   IPM / Physic / 8888
School of Physics
  Title:   Realization of the Cohen-Glashow Very Special Relativity on Noncommutative Space-Time
1.  M.M. Sheikh-Jabbari
2.  A. Tureanu
  Status:   Published
  Journal: Phys. Rev. Lett.
  Vol.:  101
  Year:  2008
  Pages:   261601
  Supported by:  IPM
We show that the Cohen-Glashow Very Special Relativity (VSR) theory [1] can be realized as the part of the Poincaré symmetry preserved on a noncommutative Moyal plane with light-like noncommutativity. Moreover, we show that the three subgroups relevant to the Cohen-Glashow VSR can also be realized in the noncommutative space-time setting. For all these three cases the noncommutativity parameter θμν should be light-like (θμνθμν=0). A fixed constant noncommutativity parameter respects the T(2) subgroup of Lorentz, while for the E(2) and SIM(2) cases the form of noncommutativity among the coordinates should be of linear (Lie algebra) and quadratic (quantum group) type, respectively. We discuss some physical implications of this noncommutative realization of the Cohen-Glashow VSR.

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