A fuzzy bipolar celestial sphere
General Relativity and Quantum Cosmology
2019-07-09 v3 High Energy Physics - Theory
Abstract
We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy sphere and, as such, it leads to a maximal value of the angular momentum. We derive the action of Lorentz boost generators on such non-commutative spherical harmonics and show that it is compatible with the existence of a maximal angular momentum.
Keywords
Cite
@article{arxiv.1901.01167,
title = {A fuzzy bipolar celestial sphere},
author = {Francesco Alessio and Michele Arzano},
journal= {arXiv preprint arXiv:1901.01167},
year = {2019}
}
Comments
15 pages, 4 figures; v2: typos corrected, references added; v3 title slightly changed, minor adjustments in the presentation, results unchanged. References added, matches published version