2024-07-21T07:25:07Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/72222023-03-24T13:07:23Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259_7221
Gubitosi, Giulia
Ballesteros Castañeda, Ángel
Herranz Zorrilla, Francisco José
2020-08
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
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.
application/pdf
http://hdl.handle.net/10259/7222
eng
Sissa
Generalized noncommutative Snyder spaces and projective geometry
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