Quaternionic structures, supertwistors and fundamental superspaces

Superspace is considered as space of parameters of the supercoherent states defining the basis for oscillator-like unitary irreducible representations of the generalized superconformal group SU(2m, 2n|2N) in the field of quaternions H. The specific construction contains naturally the supertwistor on...

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Detalles Bibliográficos
Autor principal:	Cirilo, Diego Julio
Publicado:	2016
Materias:	almost complex structures coherent states Supergeometry superspaces twistors
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n9_p_CiriloLombardo http://hdl.handle.net/20.500.12110/paper_02198878_v13_n9_p_CiriloLombardo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_02198878_v13_n9_p_CiriloLombardo
record_format	dspace
spelling	paper:paper_02198878_v13_n9_p_CiriloLombardo2023-06-08T15:21:40Z Quaternionic structures, supertwistors and fundamental superspaces Cirilo, Diego Julio almost complex structures coherent states Supergeometry superspaces twistors Superspace is considered as space of parameters of the supercoherent states defining the basis for oscillator-like unitary irreducible representations of the generalized superconformal group SU(2m, 2n\|2N) in the field of quaternions H. The specific construction contains naturally the supertwistor one of the previous work by Litov and Pervushin [1] and it is shown that in the case of extended supersymmetry such an approach leads to the separation of a class of superspaces and its groups of motion. We briefly discuss this particular extension to the domain of quaternionic superspaces as nonlinear realization of some kind of the affine and the superconformal groups with the final end to include also the gravitational field [6] (this last possibility to include gravitation, can be realized on the basis of Ref. 12 where the coset Sp(8) SL(4R) ∼SU(2,2) SL(2C) was used in the non supersymmetric case). It is shown that this quaternionic construction avoid some unconsistencies appearing at the level of the generators of the superalgebras (for specific values of p and q; p + q = N) in the twistor one. © 2016 World Scientific Publishing Company. Fil:Cirilo-Lombardo, D.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n9_p_CiriloLombardo http://hdl.handle.net/20.500.12110/paper_02198878_v13_n9_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 superspaces twistors
spellingShingle	almost complex structures coherent states Supergeometry superspaces twistors Cirilo, Diego Julio Quaternionic structures, supertwistors and fundamental superspaces
topic_facet	almost complex structures coherent states Supergeometry superspaces twistors
description	Superspace is considered as space of parameters of the supercoherent states defining the basis for oscillator-like unitary irreducible representations of the generalized superconformal group SU(2m, 2n\|2N) in the field of quaternions H. The specific construction contains naturally the supertwistor one of the previous work by Litov and Pervushin [1] and it is shown that in the case of extended supersymmetry such an approach leads to the separation of a class of superspaces and its groups of motion. We briefly discuss this particular extension to the domain of quaternionic superspaces as nonlinear realization of some kind of the affine and the superconformal groups with the final end to include also the gravitational field [6] (this last possibility to include gravitation, can be realized on the basis of Ref. 12 where the coset Sp(8) SL(4R) ∼SU(2,2) SL(2C) was used in the non supersymmetric case). It is shown that this quaternionic construction avoid some unconsistencies appearing at the level of the generators of the superalgebras (for specific values of p and q; p + q = N) in the twistor one. © 2016 World Scientific Publishing Company.
author	Cirilo, Diego Julio
author_facet	Cirilo, Diego Julio
author_sort	Cirilo, Diego Julio
title	Quaternionic structures, supertwistors and fundamental superspaces
title_short	Quaternionic structures, supertwistors and fundamental superspaces
title_full	Quaternionic structures, supertwistors and fundamental superspaces
title_fullStr	Quaternionic structures, supertwistors and fundamental superspaces
title_full_unstemmed	Quaternionic structures, supertwistors and fundamental superspaces
title_sort	quaternionic structures, supertwistors and fundamental superspaces
publishDate	2016
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n9_p_CiriloLombardo http://hdl.handle.net/20.500.12110/paper_02198878_v13_n9_p_CiriloLombardo
work_keys_str_mv	AT cirilodiegojulio quaternionicstructuressupertwistorsandfundamentalsuperspaces
_version_	1768544083704283136

Quaternionic structures, supertwistors and fundamental superspaces

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