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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02198878_v13_n9_p_CiriloLombardo |
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todo:paper_02198878_v13_n9_p_CiriloLombardo2023-10-03T15:11:10Z Quaternionic structures, supertwistors and fundamental superspaces Cirilo-Lombardo, D.J. Pervushin, V.N. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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-Lombardo, D.J. Pervushin, V.N. 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. |
| 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 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_02198878_v13_n9_p_CiriloLombardo |
| work_keys_str_mv |
AT cirilolombardodj quaternionicstructuressupertwistorsandfundamentalsuperspaces AT pervushinvn quaternionicstructuressupertwistorsandfundamentalsuperspaces |
| _version_ |
1807322820634476544 |