Artículo

Cirilo-Lombardo, D.J.; Pervushin, V.N."Quaternionic (super) twistors extensions and general superspaces" (2017) International Journal of Geometric Methods in Modern Physics. 14(1)
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Abstract:

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.

Registro:

Documento: Artículo
Título:Quaternionic (super) twistors extensions and general superspaces
Autor:Cirilo-Lombardo, D.J.; Pervushin, V.N.
Filiación:Universidad de Buenos Aires, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), National Institute of Plasma Physics (INFIP), Facultad de Ciencias Exactas y Naturales, Cuidad Universitaria, Buenos Aires, 1428, Argentina
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
Palabras clave:almost complex structures; coherent states; Supergeometry
Año:2017
Volumen:14
Número:1
DOI: http://dx.doi.org/10.1142/S0219887817500098
Handle:http://hdl.handle.net/20.500.12110/paper_02198878_v14_n1_p_CiriloLombardo
Título revista:International Journal of Geometric Methods in Modern Physics
Título revista abreviado:Int. J. Geom. Methods Mod. Phys.
ISSN:02198878
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v14_n1_p_CiriloLombardo

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Citas:

---------- APA ----------
Cirilo-Lombardo, D.J. & Pervushin, V.N. (2017) . Quaternionic (super) twistors extensions and general superspaces. International Journal of Geometric Methods in Modern Physics, 14(1).
http://dx.doi.org/10.1142/S0219887817500098
---------- CHICAGO ----------
Cirilo-Lombardo, D.J., Pervushin, V.N. "Quaternionic (super) twistors extensions and general superspaces" . International Journal of Geometric Methods in Modern Physics 14, no. 1 (2017).
http://dx.doi.org/10.1142/S0219887817500098
---------- MLA ----------
Cirilo-Lombardo, D.J., Pervushin, V.N. "Quaternionic (super) twistors extensions and general superspaces" . International Journal of Geometric Methods in Modern Physics, vol. 14, no. 1, 2017.
http://dx.doi.org/10.1142/S0219887817500098
---------- VANCOUVER ----------
Cirilo-Lombardo, D.J., Pervushin, V.N. Quaternionic (super) twistors extensions and general superspaces. Int. J. Geom. Methods Mod. Phys. 2017;14(1).
http://dx.doi.org/10.1142/S0219887817500098