Realization of qdeformed spacetime as star product by a Drinfeld twist
Abstract
Covariance ties the noncommutative deformation of a space into a quantum space closely to the deformation of the symmetry into a quantum symmetry. Quantum deformations of enveloping algebras are governed by Drinfeld twists, inner automorphisms which relate the deformed to the undeformed coproduct. While Drinfeld twists naturally define a covariant star product on the space algebra, this product is in general not associative and does not yield a quantum space. It is reported that, nevertheless, there are certain Drinfeld twists which realize the quantum plane, quantum Euclidean 4space, and quantum Minkowski space.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402199
 Bibcode:
 2004math......2199B
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 81R60;
 17B37
 EPrint:
 4 pages