منابع مشابه
The Area Quantum and Snyder Space
We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.
متن کاملDeformed Symmetry in Snyder Space and Relativistic Particle Dynamics
We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (u...
متن کاملSnyder Space - Time : K - Loop and Lie Triple System ?
Different deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2, R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder space-time. The notions of smooth “K-loop”, a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given by the Lie triple system are the key ...
متن کاملTwisted Symmetry in Snyder Space and Relativistic Particle Dynamics
We describe the twisted Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these twisted symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the twisted symmetries with the usual (untw...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2012
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2011.09.022