Superconformal SU(1, 1|n) mechanics; Journal of High Energy Physics; Vol. 9
| Parent link: | Journal of High Energy Physics Vol. 9.— 2016.— [114, 10 p.] |
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| Izvleček: | Title screen Recent years have seen an upsurge of interest in dynamical realizations of the superconformal group SU(1, 1|2) in mechanics. Remarking that SU(1, 1|2) is a particular member of a chain of supergroups SU(1, 1|n) parametrized by an integer n, here we begin a systematic study of SU(1, 1|n) multi-particle mechanics. A representation of the superconformal algebra su(1, 1|n) is constructed on the phase space spanned by m copies of the (1, 2n, 2n-1) supermultiplet. We show that the dynamics is governed by two prepotentials V and F, and the Witten-Dijkgraaf-Verlinde-Verlinde equation for F shows up as a consequence of a more general fourth-order equation. All solutions to the latter in terms of root systems reveal decoupled models only. An extension of the dynamical content of the (1, 2n, 2n-1) supermultiplet by angular variables in a way similar to the SU(1, 1|2) case is problematic. |
| Jezik: | angleščina |
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2016
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| Online dostop: | http://dx.doi.org/10.1007/JHEP09(2016)114 |
| Format: | Elektronski Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=651761 |
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| 200 | 1 | |a Superconformal SU(1, 1|n) mechanics |f A. V. Galajinsky, O. Lechtenfeld | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 32 tit.] | ||
| 330 | |a Recent years have seen an upsurge of interest in dynamical realizations of the superconformal group SU(1, 1|2) in mechanics. Remarking that SU(1, 1|2) is a particular member of a chain of supergroups SU(1, 1|n) parametrized by an integer n, here we begin a systematic study of SU(1, 1|n) multi-particle mechanics. A representation of the superconformal algebra su(1, 1|n) is constructed on the phase space spanned by m copies of the (1, 2n, 2n-1) supermultiplet. We show that the dynamics is governed by two prepotentials V and F, and the Witten-Dijkgraaf-Verlinde-Verlinde equation for F shows up as a consequence of a more general fourth-order equation. All solutions to the latter in terms of root systems reveal decoupled models only. An extension of the dynamical content of the (1, 2n, 2n-1) supermultiplet by angular variables in a way similar to the SU(1, 1|2) case is problematic. | ||
| 461 | |t Journal of High Energy Physics | ||
| 463 | |t Vol. 9 |v [114, 10 p.] |d 2016 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a суперсимметрии | |
| 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 | |
| 701 | 1 | |a Lechtenfeld |b O. |g Olef | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Физико-технический институт |b Кафедра высшей математики и математической физики |3 (RuTPU)RU\TPU\col\18727 |9 27176 |
| 801 | 2 | |a RU |b 63413507 |c 20171120 |g RCR | |
| 856 | 4 | |u http://dx.doi.org/10.1007/JHEP09(2016)114 | |
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