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