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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 nonlinear realizations and direct gauging are analyzed and briefly discussed. © 2018 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Dynamical symmetries, coherent states and nonlinear realizations: The S O (2, 4) case
Autor:Arbuzov, A.B.; Cirilo-Lombardo, D.J.
Filiación:Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
Consejo Nacional de Investigaciones Cientificas y Tecnicas, Universidad de Buenos Aires, National Institute of Plasma Physics (INFIP), Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:coherent states; conformal symmetry; Group theory; nonlinear realizations
Año:2018
Volumen:15
Número:1
DOI: http://dx.doi.org/10.1142/S0219887818500056
Título revista:International Journal of Geometric Methods in Modern Physics
Título revista abreviado:Int. J. Geom. Methods Mod. Phys.
ISSN:02198878
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v15_n1_p_Arbuzov

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Citas:

---------- APA ----------
Arbuzov, A.B. & Cirilo-Lombardo, D.J. (2018) . Dynamical symmetries, coherent states and nonlinear realizations: The S O (2, 4) case. International Journal of Geometric Methods in Modern Physics, 15(1).
http://dx.doi.org/10.1142/S0219887818500056
---------- CHICAGO ----------
Arbuzov, A.B., Cirilo-Lombardo, D.J. "Dynamical symmetries, coherent states and nonlinear realizations: The S O (2, 4) case" . International Journal of Geometric Methods in Modern Physics 15, no. 1 (2018).
http://dx.doi.org/10.1142/S0219887818500056
---------- MLA ----------
Arbuzov, A.B., Cirilo-Lombardo, D.J. "Dynamical symmetries, coherent states and nonlinear realizations: The S O (2, 4) case" . International Journal of Geometric Methods in Modern Physics, vol. 15, no. 1, 2018.
http://dx.doi.org/10.1142/S0219887818500056
---------- VANCOUVER ----------
Arbuzov, A.B., Cirilo-Lombardo, D.J. Dynamical symmetries, coherent states and nonlinear realizations: The S O (2, 4) case. Int. J. Geom. Methods Mod. Phys. 2018;15(1).
http://dx.doi.org/10.1142/S0219887818500056