کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899442 | 1045057 | 2006 | 24 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Towards a topological (dual of) quantum κ-Poincaré group * Towards a topological (dual of) quantum κ-Poincaré group *](/preview/png/1899442.png)
We argue that the κ-deformation is related to a factorization of a Lie group, therefore an appropriate version of κ-Poincaré does exist on the C*-algebraic level. The explicit form of this factorization is computed that leads to an “action with singularities” of the Lorentz group (with space reflections) considered in Amelino-Camelia's Doubly Special Relativity theory. The orbit structure is found and “the momentum manifold” is extended in a way that removes singularities and results in a true action. It turns out that this manifold is nonsimply connected and nonorientable (in dimension 1+3). It can be equipped with a Lorentzian metric and the Lorentz group acts by isometries. In the introduction some aspects of κ-Poincaré algebra, among them of the symmetric and nonsymmetric coproduct, are discussed.
Journal: Reports on Mathematical Physics - Volume 57, Issue 2, April 2006, Pages 233-256