Parafermions for higher order extensions of the Poincaré algebra and their associated superspace
dc.contributor.author | Campoamor Stursberg, Otto-Rudwig | |
dc.contributor.author | Rausch de Traubenberg, Michel | |
dc.date.accessioned | 2023-06-20T03:32:14Z | |
dc.date.available | 2023-06-20T03:32:14Z | |
dc.date.issued | 2009 | |
dc.description.abstract | Parafermions of orders 2 and 3 are shown to be the fundamental tool to construct superspaces related to cubic and quartic extensions of the Poincaré algebra. The corresponding superfields are constructed, and some of their main properties are analyzed in detail. In this context, the existence problem of operators acting like covariant derivatives is analyzed, and the associated operators are explicitly constructed | en |
dc.description.department | Depto. de Álgebra, Geometría y Topología | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Educación, Formación Profesional y Deportes (España) | |
dc.description.sponsorship | Ministerio de Universidades (España) | |
dc.description.sponsorship | Universidad Complutense de Madrid | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/21041 | |
dc.identifier.doi | 10.1088/1751-8113/42/49/495202 | |
dc.identifier.issn | 1751-8113 | |
dc.identifier.officialurl | https//doi.org/10.1088/1751-8113/42/49/495202 | |
dc.identifier.relatedurl | http://iopscience.iop.org/1751-8121/42/49/495202/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/43778 | |
dc.issue.number | 49 | |
dc.journal.title | Journal of physics A: Mathematical and Theoretical | |
dc.language.iso | eng | |
dc.page.final | 18 | |
dc.page.initial | 1 | |
dc.publisher | IOP Publishing Ltd | |
dc.relation.projectID | MTM2006-09152 | |
dc.relation.projectID | GR58/4120818-920920 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 530.145 | |
dc.subject.ucm | Teoría de los quanta | |
dc.subject.unesco | 2210.23 Teoría Cuántica | |
dc.title | Parafermions for higher order extensions of the Poincaré algebra and their associated superspace | en |
dc.type | journal article | |
dc.volume.number | 42 | |
dcterms.references | G. Gentile, Nuovo Cimento 17 (1940) 493. C. A. Nelson, J. Phys. A37 (2004) 2497. H. S. Green, Phys. Rev. 90 (1953) 270. Y. Ohnuki and S. Kamefuchi, Quantum Field Theory and Parastatistics Tokyo, Japan: Univ. Pr. (1982) Berlin, Germany: Springer ( 1982) 489p. O. W. Greenberg, Phys. Rev. Lett. 13 (1984) 598. O. W. Greenberg and A. M. L. Messiah, Phys. Rev. B136 (1964) 248; B138 (1964) 1155. S. Coleman and J. Mandula, Phys. Rev. 159 (1967) 1251; R. Haag, J. T. Lopuszanski and M. F. Sohnius, Nucl. Phys. B88 (1975) 257. J. Bagger and N. Lambert, Phys. Rev. D75 (2007) 045020 [arXiv:hep-th/0611108]. M. Rausch de Traubenberg, M. J. Slupinski, J. Math. Phys. 41 (2000) 4556 [arXiv:hep-th/9904126]; M. Rausch de Traubenberg, M. J. Slupinski, J. Math. Phys. 43 (2002) 5145 [arXiv:hep-th/0205113]. M. Goze, M. Rausch de Traubenberg and A. Tanasa, J. Math. Phys. 48 (2007) 093507[arXiv:math-ph/0603008]. M. Rausch de Traubenberg, J. Phys. Conf. Ser. 128 (2008) 012060 [arXiv:0710.5368 [math-ph]]; M. Goze and M. Rausch de Traubenberg, J. Math. Phys. 50 (2009) 063508 [arXiv:0809.4212[math-ph]]. R. Campoamor-Stursberg and M. Rausch de Traubenberg, J. of Generalized Lie Theory and Appl. 3 (2009) 113 [arXiv:0811.3076 [math-ph]]. N. Mohammedi, G. Moultaka and M. Rausch de Traubenberg, Int. J. Mod. Phys. A19 (2004) 5585 [arXiv:hep-th/0305172]. G. Moultaka, M. Rausch de Traubenberg and A. Tanasa, Int. J. Mod. Phys. A20 (2005) 5779 [arXiv:hep-th/0411198]. G. Moultaka, M. Rausch de Traubenberg and A. Tanasa, Proceedings of the XIth International Conference Symmetry Methods in Physics, Prague 21-24 June 2004 [arXiv:hep-th/0407168]. C. Ahn, D. Bernard and A. Leclair, Nucl. Phys. B346 (1990) 409; S. Durand, Mod. Phys. Lett A8 (1993) 2323 [hep-th/9305130]; N. Fleury and M. Rausch de Traubenberg, Mod. Phys. Lett. A11 (1996) 899 [hep-th/9510108]; A. Perez, M. Rausch de Traubenberg and P. Simon, Nucl. Phys. B482 (1996) 325 [hep-th/9603149]; M. Rausch de Traubenberg and P. Simon, Nucl. Phys. B517 (1998) 485 [hep-th/9606188]. J. A. de Azcárraga and A. J. Macfarlane, J. Math. Phys. 37 (1996) 1115 [hep-th/9506177]; R. S. Dunne, A. J. Macfarlane, J. A. de Azcarraga and J. C. Perez Bueno, Phys. Lett. B 387 (1996) 294 [arXiv:hep-th/9607220]; R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga and J. C. Pérez Bueno, Int. J. Mod. Phys. A12 (1997) 3275 [hep-th/9610087]. N. Roby, Bull. Sc. Math. 94 (1970) 49. I. Bars and M. G¨un¨aydin, J. Math. Phys. 20 (1979) 1977; I. Bars and M. Günäydin, Phys.Rev. D22 (1980) 1403; T. D. Palev, J. Math. Phys. 23 (1982) 1100; N. I. Stoilova and J. Van der Jeugt, Journal of Physics: Conference Series 128 (2008) 012061 [arXiv:math-ph/0611085]. J. Beckers and N. Debergh, Int. J. Mod. Phys. A8 (1993) 5041; A. G. Nikitin and V. V. Tretynyk, J. Phys. A28 (1995) 1655; J. Niederle and A. G. Nikitin, J. Phys. A32 (1999) 5141. M. Plyushchay, Int. J. Mod. Phys. A15 (2000) 3679 [arXiv:hep-th/9903130]; S. Klishevich and M. Plyushchay, Mod. Phys. Lett. A14 (1999) 2739 [arXiv:hep-th/9905149]; F. Correa,V. Jakubsky, L. M. Nieto and M. S. Plyushchay, Phys. Rev. Lett. 101 (2008) 030403 [arXiv:0801.1671 [hep-th]]; F. Correa, V. Jakubsky and M. S. Plyushchay, J. Phys. A41 (2008) 485303 [arXiv:0806.1614 [hep-th]]. M. Rausch de Traubenberg, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 50, Part 1, 2, 3, Natsional. Akad. Nauk Ukrani, ˜Inst. Mat., Kiev, 2004, pp. 578 [arXiv:hep-th/0312066]. M. Rausch de Traubenberg, J. Phys. Conf. Series 175 (2009) 012003 [arXiv:0811.1465 [hep-th]]. V. Rittenberg and D. Wyler, J. Math. Phys. 19 (1978) 2193; V. Rittenberg and D. Wyler, Nucl. Phys. B139 (1978) 189; M. Scheunert, J. Math. Phys. 20 (1979) 712; H. S. Green and P. D. Jarvis, J. Math. Phys. 24 (1983) 1681; J. Lukierski and V. Rittenberg, Phys. Rev. D18(1978) 385. R. Kerner, J. Math. Phys. 33 (1992) 403, V. Abramov, R. Kerner and B. Le Roy, J. Math. Phys. 38 (1997) 1650 [arXiv:hep-th/9607143]. I. C. G. Campbell and P. C. West, Nucl. Phys. B243 (1984) 112; M. Huq and M. A. Namazie, Class. Quant. Grav. 2 (1985) 293 [Erratum-ibid. 2 (1985) 597]; F. Giani and M. Pernici, Phys.Rev. D30 (1984) 325. M. Hamermesh, Group theory and its application to physical problems (Addison-Wesley, 1962); W. Fulton and J. Harris, Representation theory: a first course (Springer, 2004). Y. Ohnuki and S. Kamefuchi, Phys. Rev. 170 (1968) 1279. [29] S. Kamefuchi and Y. Takahashi, Prog. Theor. Phys. (Kyoto) Suppl. 37 & 38 (1966) 244. M. Rausch de Traubenberg, to appear in Adv. Appl. Cliff. Algebra [arXiv:hep-th/0506011]. J. Wess, J. Bagger, “Supersymmetry and Supergravity” (Princeton University Press, 1983). M. Cederwall, arXiv:0906.5490 [hep-th]. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 72801982-9f3c-4db0-b765-6e7b4aa2221b | |
relation.isAuthorOfPublication.latestForDiscovery | 72801982-9f3c-4db0-b765-6e7b4aa2221b |
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