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dc.contributor.author
Cirilo, Diego Julio
dc.contributor.author
Pervushin, Victor N.
dc.date.available
2017-06-30T18:11:07Z
dc.date.issued
2016-10
dc.identifier.citation
Cirilo, Diego Julio; Pervushin, Victor N.; Quaternionic structures, supertwistors and fundamental superspaces; World Scientific; International Journal Of Geometric Methods In Modern Physics; 13; 9; 10-2016; 1-10; 1650113
dc.identifier.issn
0219-8878
dc.identifier.uri
http://hdl.handle.net/11336/19284
dc.description.abstract
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 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 (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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
World Scientific
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Supergeometry
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Coherent States
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Almost Complex Structures
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Twistors
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Superspaces
dc.subject.classification
Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
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Física de Partículas y Campos
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Quaternionic structures, supertwistors and fundamental superspaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-30T14:38:15Z
dc.identifier.eissn
1793-6977
dc.journal.volume
13
dc.journal.number
9
dc.journal.pagination
1-10; 1650113
dc.journal.pais
Singapur
dc.description.fil
Fil: Cirilo, Diego Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina. Joint Institute for Nuclear Research; Rusia
dc.description.fil
Fil: Pervushin, Victor N.. Joint Institute for Nuclear Research; Rusia
dc.journal.title
International Journal Of Geometric Methods In Modern Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219887816501139
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219887816501139
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.03552
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