Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-23
Phys.Rev.Lett.101:261601,2008
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, minor corrections, to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.101.261601
We show that the Cohen-Glashow Very Special Relativity (VSR) theory [1] can be realized as the part of the Poincar\'e 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 $\theta^{\mu\nu}$ should be light-like ($\theta^{\mu\nu}\theta_{\mu\nu}=0$). 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 realization of the Cohen-Glashow VSR.
Sheikh-Jabbari Mohammad M.
Tureanu Anca
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