Dynamical symmetries, coherent states and nonlinear realizations: the SO(2,4) case
High Energy Physics - Theory
2018-01-17 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Nonlinear realizations of the SO(4,2) group are discussed from the point of view of symmetries. Dynamical symmetry breaking is introduced. One linear and one quadratic model in curvature are constructed. Coherent states of the Klauder-Perelomov type are defined for both cases taking into account the coset geometry. A new spontaneous compactification mechanism is defined in the subspace invariant under the stability subgroup. The physical implications of the symmetry rupture in the context of non-linear realizations and direct gauging are analyzed and briefly discussed.
Keywords
Cite
@article{arxiv.1708.00334,
title = {Dynamical symmetries, coherent states and nonlinear realizations: the SO(2,4) case},
author = {Andrej B. Arbuzov and Diego Julio Cirilo-Lombardo},
journal= {arXiv preprint arXiv:1708.00334},
year = {2018}
}
Comments
25 pages, no figures.arXiv admin note: text overlap with arXiv:1602.06776 by other authors