https://hdl.handle.net/10259/7221 2026-05-11T16:15:41Z 2026-05-11T16:15:41Z Gubitosi, Giulia Ballesteros Castañeda, Ángel Herranz Zorrilla, Francisco José https://hdl.handle.net/10259/7222 2023-03-24T13:07:23Z 2020-08-01T00:00:00Z

Generalized noncommutative Snyder spaces and projective geometry Gubitosi, Giulia; Ballesteros Castañeda, Ángel; Herranz Zorrilla, Francisco José Given a group of kinematical symmetry generators, one can construct a compatible noncommutative spacetime and deformed phase space by means of projective geometry. This was the main idea behind the very first model of noncommutative spacetime, proposed by H.S. Snyder in 1947. In this framework, spacetime coordinates are the translation generators over a manifold that is symmetric under the required generators, while momenta are projective coordinates on such a manifold. In these proceedings we review the construction of Euclidean and Lorentzian noncommutative Snyder spaces and investigate the freedom left by this construction in the choice of the physical momenta, because of different available choices of projective coordinates. In particular, we derive a quasi-canonical structure for both the Euclidean and Lorentzian Snyder noncommutative models such that their phase space algebra is diagonal although no longer quadratic. Trabajo presentado en: Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019) - Workshop on Quantum Geometry, Field Theory and Gravity, 31 August - 25 September, Corfù, Greece

2020-08-01T00:00:00Z