Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis

The relation between fundamental spacetime structures and dynamical symmetries are treated beyond the geometrical and topological viewpoint. To this end analyze, taking into account the concept of categories and quasi hamiltonian structures, a recent research (Cirilo-Lombardo and Arbuzov in Int J Ge...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Categories
Coherent states
Dynamical symmetries
Geometrical quatization
Group manifolds
UFT
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_23495103_v4_n3_p_CiriloLombardo
http://hdl.handle.net/20.500.12110/paper_23495103_v4_n3_p_CiriloLombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_23495103_v4_n3_p_CiriloLombardo
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spelling paper:paper_23495103_v4_n3_p_CiriloLombardo2023-06-08T16:35:41Z Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis Categories Coherent states Dynamical symmetries Geometrical quatization Group manifolds UFT The relation between fundamental spacetime structures and dynamical symmetries are treated beyond the geometrical and topological viewpoint. To this end analyze, taking into account the concept of categories and quasi hamiltonian structures, a recent research (Cirilo-Lombardo and Arbuzov in Int J Geom Methods Mod Phys 15(01):1850005, 2017) where one linear and one quadratic in curvature models were constructed and where a dynamical breaking of the SO(4 , 2) group symmetry arises. We explain there how and why coherent states of the Klauder-Perelomov type are defined for both cases taking into account the coset geometry and some hints on the possibility to extend they to the categorical (functorial) status are given. The new spontaneous compactification mechanism that was defined in the subspace invariant under the stability subgroup is commented in the context of future developments as the main tool for the treatment of the internal symmetries, as the electroweak in the Standard Model (SM). The physical implications of the symmetry rupture as the introduction of a noncommutative structure in the context of non-linear realizations and direct gauging are analyzed and briefly discussed in this new theoretical framework. © 2018, Springer (India) Private Ltd., part of Springer Nature. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_23495103_v4_n3_p_CiriloLombardo http://hdl.handle.net/20.500.12110/paper_23495103_v4_n3_p_CiriloLombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Categories
Coherent states
Dynamical symmetries
Geometrical quatization
Group manifolds
UFT
spellingShingle Categories
Coherent states
Dynamical symmetries
Geometrical quatization
Group manifolds
UFT
Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
topic_facet Categories
Coherent states
Dynamical symmetries
Geometrical quatization
Group manifolds
UFT
description The relation between fundamental spacetime structures and dynamical symmetries are treated beyond the geometrical and topological viewpoint. To this end analyze, taking into account the concept of categories and quasi hamiltonian structures, a recent research (Cirilo-Lombardo and Arbuzov in Int J Geom Methods Mod Phys 15(01):1850005, 2017) where one linear and one quadratic in curvature models were constructed and where a dynamical breaking of the SO(4 , 2) group symmetry arises. We explain there how and why coherent states of the Klauder-Perelomov type are defined for both cases taking into account the coset geometry and some hints on the possibility to extend they to the categorical (functorial) status are given. The new spontaneous compactification mechanism that was defined in the subspace invariant under the stability subgroup is commented in the context of future developments as the main tool for the treatment of the internal symmetries, as the electroweak in the Standard Model (SM). The physical implications of the symmetry rupture as the introduction of a noncommutative structure in the context of non-linear realizations and direct gauging are analyzed and briefly discussed in this new theoretical framework. © 2018, Springer (India) Private Ltd., part of Springer Nature.
title Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
title_short Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
title_full Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
title_fullStr Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
title_full_unstemmed Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
title_sort dynamical symmetries, super-coherent states and noncommutative structures: categorical and geometrical quantization analysis
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_23495103_v4_n3_p_CiriloLombardo
http://hdl.handle.net/20.500.12110/paper_23495103_v4_n3_p_CiriloLombardo
_version_ 1768542480177823744

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