| 000 | 02464nlm1a2200337 4500 | ||
|---|---|---|---|
| 001 | 651761 | ||
| 005 | 20231030041100.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\17023 | ||
| 090 | _a651761 | ||
| 100 | _a20161122a2016 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aDE | ||
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aSuperconformal SU(1, 1|n) mechanics _fA. V. Galajinsky, O. Lechtenfeld |
|
| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 32 tit.] | ||
| 330 | _aRecent 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 | _tJournal of High Energy Physics | ||
| 463 |
_tVol. 9 _v[114, 10 p.] _d2016 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _aсуперсимметрии | |
| 700 | 1 |
_aGalajinsky _bA. V. _cDoctor 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) _cProfessor of the TPU _f1971- _gAnton Vladimirovich _2stltpush _3(RuTPU)RU\TPU\pers\27878 |
|
| 701 | 1 |
_aLechtenfeld _bO. _gOlef |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет (ТПУ) _bФизико-технический институт (ФТИ) _bКафедра высшей математики и математической физики (ВММФ) _h139 _2stltpush _3(RuTPU)RU\TPU\col\18727 |
| 801 | 2 |
_aRU _b63413507 _c20171120 _gRCR |
|
| 856 | 4 | _uhttp://dx.doi.org/10.1007/JHEP09(2016)114 | |
| 942 | _cCF | ||