N=4 superconformal n-particle mechanics via superspace; Nuclear Physics B; Vol. 817
| Parent link: | Nuclear Physics B: Scientific Journal Vol. 817.— 2009.— [P. 265-283] |
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| 1. Verfasser: | |
| Weitere Verfasser: | , |
| Zusammenfassung: | Title screen We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems with N=4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic energy implies the existence of inertial (super-)coordinates, which is nontrivial beyond three particles. We formulate the corresponding integrability conditions, whose solution directly yields the superpotential, the two prepotentials and the bosonic potential. The structure equations for the two prepotentials, including the WDVV equation, follow automatically. The general solution for translation-invariant three-particle models is presented and illustrated with examples. For the four-particle case, we take advantage of known WDVV solutions to construct a D_3 and a B_3 model, thus overcoming a previously-found barrier regarding the bosonic potential. The general solution and classification remain a challenge Режим доступа: по договору с организацией-держателем ресурса |
| Sprache: | Englisch |
| Veröffentlicht: |
2009
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| Schlagworte: | |
| Online-Zugang: | http://www.sciencedirect.com/science/article/pii/S0550321309001230 |
| Format: | MixedMaterials Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636153 |
MARC
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| 200 | 1 | |a N=4 superconformal n-particle mechanics via superspace |f Sergey Krivonos, O. Lechtenfeld, K. V. Polovnikov | |
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| 300 | |a Title screen | ||
| 320 | |a [Ref.: p. 283 (20 tit.)] | ||
| 330 | |a We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems with N=4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic energy implies the existence of inertial (super-)coordinates, which is nontrivial beyond three particles. We formulate the corresponding integrability conditions, whose solution directly yields the superpotential, the two prepotentials and the bosonic potential. The structure equations for the two prepotentials, including the WDVV equation, follow automatically. The general solution for translation-invariant three-particle models is presented and illustrated with examples. For the four-particle case, we take advantage of known WDVV solutions to construct a D_3 and a B_3 model, thus overcoming a previously-found barrier regarding the bosonic potential. The general solution and classification remain a challenge | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Nuclear Physics B |o Scientific Journal | ||
| 463 | |t Vol. 817 |v [P. 265-283] |d 2009 | ||
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| 700 | 1 | |a Krivonos |b Sergey | |
| 701 | 1 | |a Lechtenfeld |b O. |g Olaf | |
| 701 | 1 | |a Polovnikov |b K. V. |c mathematician |c Senior Lecturer of Tomsk Polytechnic University, Expert, Candidate of physical and mathematical |f 1984- |g Kirill Viktorovich |3 (RuTPU)RU\TPU\pers\31232 |9 15427 | |
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