N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets; Journal of High Energy Physics; Vol. 2017, № 9

Detalles Bibliográficos
Parent link:Journal of High Energy Physics
Vol. 2017, № 9.— 2017.— [131, 9 p.]
Autor Principal: Galajinsky A. V. Anton Vladimirovich
Autor Corporativo: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Outros autores: Krivonos S. O. Sergey Olegovich
Summary:Title screen
N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.
Idioma:inglés
Publicado: 2017
Subjects:
Acceso en liña:https://doi.org/10.1007/JHEP09(2017)131
Formato: Electrónico Capítulo de libro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666891

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200 1 |a N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets  |f A. V. Galajinsky, S. O. Krivonos 
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330 |a N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work. 
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610 1 |a Conformal and W Symmetry 
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700 1 |a Galajinsky  |b A. V.  |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT)   |c Professor of the TPU  |f 1971-  |g Anton Vladimirovich  |3 (RuTPU)RU\TPU\pers\27878  |9 12894 
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