Navegar

Colección

Datos Estadísticas

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)
Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

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
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

Referencias:

  • Borisov, A.B., Ogievetsky, V.I., (1975) Theoret. Math. Phys., 21, p. 1179
  • (1974) Teoret. Mat. Fiz., 21, pp. 329-342. , (in Russian)
  • Coleman, S.R., Wess, J., Zumino, B., (1969) Phys. Rev., 177, p. 2239
  • Volkov, D.V., (1973) Fiz. Elem. Chastits. At. Yadra, 4, p. 3
  • Volkov, D.V., (1969) Inst. Teor. Fiz., Kiev, , Preprint ITF 6973
  • Penrose, R., (1965) Quantum Gravity, p. 268. , eds. C. J. Isham, R. Penrose and D. W. Sciama (Clarendon Press, Oxford)
  • Ogievetsky, V.I., (1973) Lett. Nuovo Cimento, 8, p. 988
  • Cirilo-Lombardo, D.J., Pervushin, V.N., (2016) Int. J. Geom. Methods Mod. Phys., 13, p. 1650113
  • Litov, L.B., Pervushin, V.N., (1984) Phys. Lett. B, 147, p. 76
  • Ogievetsky, V., Sokatchev, E., (1978) Phys. Lett. B, 79, p. 222
  • Lukierski, J., Nowicki, A., (1988) Phys. Lett. B, 211, p. 276
  • (2002) Nonlinear Problems in Mathematical Physics and Related Topics I: In Honour of Prof. O. A. Ladyzhenskaiya, , eds. M. Sh. Birman et al. (Kluwer/Plenum Publishers)
  • Ferber, A., (1978) Nuclear Phys. B, 132, p. 55
  • Cirilo-Lombardo, D.J., (2015) Int. J. Theor. Phys., 54 (10), pp. 3713-3727
  • Cirilo-Lombardo, D.J., Arbuzob, A.B., Quaternionic Super-extensions of the Supertwistor Construction: Super-analog of the Borisov-Ogievetsky Nonlinear Realization, , work in progress
  • Morita, K., (2007) Prog. Theor. Phys., 117, pp. 501-532
  • Cirilo-Lombardo, D.J., Pervushin, V.N., (2016) Int. J. Geom. Methods Mod. Phys., 13, p. 1650113. , http://dx.doi.org/10.1142/S0219887816501139, 10 pages
  • Lukierski, J., Nowicki, B., (1991) Moderen Phys. Lett. A, 6, p. 189

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