RT info:eu-repo/semantics/conferenceObject
T1 Generalized noncommutative Snyder spaces and projective geometry
A1 Gubitosi, Giulia
A1 Ballesteros Castañeda, Ángel
A1 Herranz Zorrilla, Francisco José
K1 Física
K1 Physics
AB 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 mainidea 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 issymmetric under the required generators, while momenta are projective coordinates on such amanifold. 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 thephysical 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.
PB Sissa
SN 1824-8039
YR 2020
FD 2020-08
LK http://hdl.handle.net/10259/7222
UL http://hdl.handle.net/10259/7222
LA eng
NO 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
NO This work has been partially supported by Ministerio de Ciencia, Innovación y Universidades (Spain) under grant MTM2016-79639-P (AEI/FEDER, UE), by Junta de Castilla y León (Spain) under grants BU229P18 and BU091G19. The authors acknowledge the contribution of the COST Action CA18108.
DS Repositorio Institucional de la Universidad de Burgos
RD 04-may-2024