We discuss the quantum Poincaré symmetries of the rho-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.
Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski / Fabiano, Giuseppe; Gubitosi, Giulia; Lizzi, Fedele; Scala, Luca; Vitale, Patrizia. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2023:8(2023). [10.1007/JHEP08(2023)220]
Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski
Fabiano, Giuseppe;Gubitosi, Giulia;Lizzi, Fedele;Scala, Luca;Vitale, Patrizia
2023
Abstract
We discuss the quantum Poincaré symmetries of the rho-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.File in questo prodotto:
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