| Full text | |
| Author(s): |
Kupriyanov, V. G.
;
de Lima, E. L. F.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | UNIVERSE; v. 11, n. 10, p. 15-pg., 2025-10-14. |
| Abstract | |
We investigate Snyder spacetime and its generalizations, including Yang and Snyder-de Sitter spaces, which constitute manifestly Lorentz-invariant noncommutative geometries. This work initiates a systematic study of gauge theory on such spaces in the semi-classical regime, formulated as Poisson gauge theory. As a first step, we construct the symplectic realizations of the relevant noncommutative spaces, a prerequisite for defining Poisson gauge transformations and field strengths. We present a general method for representing the Snyder algebra and its extensions in terms of canonical phase-space variables, enabling both the reproduction of known representations and the derivation of novel ones. These canonical constructions are employed to obtain explicit symplectic realizations for the Snyder-de Sitter space and to construct the deformed partial derivative which differentiates the underlying Poisson structure. Furthermore, we analyze the motion of freely falling particles in these backgrounds and comment on the geometry of the associated spaces. (AU) | |
| FAPESP's process: | 24/23831-0 - Noncommutative Gauge Dynamics from L_infinity- Algebras |
| Grantee: | Eduardo Lourenço Fabio de Lima |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 24/04134-6 - Poisson Electrodynamics and Applications |
| Grantee: | Vladislav Kupriyanov |
| Support Opportunities: | Regular Research Grants |