Lie algebraic deformations of Minkowski space with Poincare algebra
Mathematical Physics
2009-09-11 v1 High Energy Physics - Theory
math.MP
Abstract
We present Lie-algebraic deformations of Minkowski space with undeformed Poincar\'{e} algebra. These deformations interpolate between Snyder and -Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. Invariants and tensors with respect to Lorentz algebra are discussed. A general mapping from -deformed Snyder to Snyder space is constructed. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and -Minkowski in Maggiore-type realizations are discussed.
Keywords
Cite
@article{arxiv.0909.1706,
title = {Lie algebraic deformations of Minkowski space with Poincare algebra},
author = {S. Meljanac and D. Meljanac and A. Samsarov and M. Stojic},
journal= {arXiv preprint arXiv:0909.1706},
year = {2009}
}
Comments
21 pages, no figures, Latex