Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski
Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi, Luca Scala, Patrizia Vitale
Abstract
A bstract We discuss the quantum Poincaré symmetries of the ϱ -Minkowski spacetime, a space characterised by an angular form of noncommutativity. We show that it is possible to give them both a bicrossproduct and a Drinfel’d twist structure. We also obtain a new noncommutative ⋆-product, which is cyclic with respect to the standard integral measure.
Topics & Concepts
Noncommutative geometryPhysicsMinkowski spaceTwistHomogeneous spaceMathematical physicsNoncommutative quantum field theoryMeasure (data warehouse)QuantumQuantum spacetimeTheoretical physicsQuantum mechanicsQuantum gravityGeometryMathematicsDatabaseComputer scienceNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial models