Quaternionic (super) twistors extensions and general superspaces

In a attempt to treat a supergravity as a tensor representation, the four-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc) graded extension of the ordinary Penrose-twistor formulation, performed in a previous work of the authors [D. J. Cirilo-Lombardo and V. N...

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Autor principal: Cirilo, Diego Julio
Publicado: 2017
Materias:
almost complex structures
coherent states
Supergeometry
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v14_n1_p_CiriloLombardo
http://hdl.handle.net/20.500.12110/paper_02198878_v14_n1_p_CiriloLombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_02198878_v14_n1_p_CiriloLombardo2023-06-08T15:21:40Z Quaternionic (super) twistors extensions and general superspaces Cirilo, Diego Julio almost complex structures coherent states Supergeometry In a attempt to treat a supergravity as a tensor representation, the four-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc) graded extension of the ordinary Penrose-twistor formulation, performed in a previous work of the authors [D. J. Cirilo-Lombardo and V. N. Pervushin, Int. J. Geom. Methods Mod. Phys., doi: http://dx.doi.org/10.1142/S0219887816501139.], with N = p + k. These quaternionic superspaces have 4 + k(N - k) even-quaternionic coordinates and 4N odd-quaternionic coordinates, where each coordinate is a quaternion composed by four ℂ-fields (bosons and fermions respectively). The fields content as the dimensionality (even and odd sectors) of these superspaces are given and exemplified by selected physical cases. In this case, the number of fields of the supergravity is determined by the number of components of the tensor representation of the four-dimensional N-extended quaternionic superspaces. The role of tensorial central charges for any N even USp(N) = Sp(N, ℍℂ) ∩ U(N, ℍℂ) is elucidated from this theoretical context. © 2017 World Scientific Publishing Company. Fil:Cirilo-Lombardo, D.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v14_n1_p_CiriloLombardo http://hdl.handle.net/20.500.12110/paper_02198878_v14_n1_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 almost complex structures
coherent states
Supergeometry
spellingShingle almost complex structures
coherent states
Supergeometry
Cirilo, Diego Julio
Quaternionic (super) twistors extensions and general superspaces
topic_facet almost complex structures
coherent states
Supergeometry
description In a attempt to treat a supergravity as a tensor representation, the four-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc) graded extension of the ordinary Penrose-twistor formulation, performed in a previous work of the authors [D. J. Cirilo-Lombardo and V. N. Pervushin, Int. J. Geom. Methods Mod. Phys., doi: http://dx.doi.org/10.1142/S0219887816501139.], with N = p + k. These quaternionic superspaces have 4 + k(N - k) even-quaternionic coordinates and 4N odd-quaternionic coordinates, where each coordinate is a quaternion composed by four ℂ-fields (bosons and fermions respectively). The fields content as the dimensionality (even and odd sectors) of these superspaces are given and exemplified by selected physical cases. In this case, the number of fields of the supergravity is determined by the number of components of the tensor representation of the four-dimensional N-extended quaternionic superspaces. The role of tensorial central charges for any N even USp(N) = Sp(N, ℍℂ) ∩ U(N, ℍℂ) is elucidated from this theoretical context. © 2017 World Scientific Publishing Company.
author Cirilo, Diego Julio
author_facet Cirilo, Diego Julio
author_sort Cirilo, Diego Julio
title Quaternionic (super) twistors extensions and general superspaces
title_short Quaternionic (super) twistors extensions and general superspaces
title_full Quaternionic (super) twistors extensions and general superspaces
title_fullStr Quaternionic (super) twistors extensions and general superspaces
title_full_unstemmed Quaternionic (super) twistors extensions and general superspaces
title_sort quaternionic (super) twistors extensions and general superspaces
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v14_n1_p_CiriloLombardo
http://hdl.handle.net/20.500.12110/paper_02198878_v14_n1_p_CiriloLombardo
work_keys_str_mv AT cirilodiegojulio quaternionicsupertwistorsextensionsandgeneralsuperspaces
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