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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Detalles Bibliográficos
Autores principales:	Cirilo-Lombardo, D.J., Pervushin, V.N.
Formato:	JOUR
Materias:	almost complex structures coherent states Supergeometry
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_02198878_v14_n1_p_CiriloLombardo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_02198878_v14_n1_p_CiriloLombardo
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spelling	todo:paper_02198878_v14_n1_p_CiriloLombardo2023-10-03T15:11:11Z Quaternionic (super) twistors extensions and general superspaces Cirilo-Lombardo, D.J. Pervushin, V.N. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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-Lombardo, D.J. Pervushin, V.N. 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.
format	JOUR
author	Cirilo-Lombardo, D.J. Pervushin, V.N.
author_facet	Cirilo-Lombardo, D.J. Pervushin, V.N.
author_sort	Cirilo-Lombardo, D.J.
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
url	http://hdl.handle.net/20.500.12110/paper_02198878_v14_n1_p_CiriloLombardo
work_keys_str_mv	AT cirilolombardodj quaternionicsupertwistorsextensionsandgeneralsuperspaces AT pervushinvn quaternionicsupertwistorsextensionsandgeneralsuperspaces
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Quaternionic (super) twistors extensions and general superspaces

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