N=4 superconformal Calogero models
| Parent link: | Journal of High Energy Physics: Scientific Journa.— , 1994- Vol. 11.— 2007.— [22 p.] |
|---|---|
| Auteur principal: | |
| Autres auteurs: | , |
| Résumé: | Title screen We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various N=4 superconformal quantum many-body systems on the real line from a set of decoupled particles extended by fermionic degrees of freedom. The su(1,1|2) invariant models are governed by two scalar potentials obeying a system of nonlinear partial differential equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations. As an application, the N=4 superconformal extension of the three-particle (A-type) Calogero model generates a unique G_2-type Hamiltonian featuring three-body interactions. We fully analyze the N=4 superconformal three- and four-particle models based on the root systems of A_1 + G_2 and F_4, respectively. Beyond Wyllard's solutions we find a list of new models, whose translational non-invariance of the center-of-mass motion fails to decouple and extends even to the relative particle motion. |
| Langue: | anglais |
| Publié: |
2007
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| Sujets: | |
| Accès en ligne: | http://arxiv.org/abs/0708.1075 |
| Format: | Électronique Chapitre de livre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640347 |
MARC
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| 200 | 1 | |a N=4 superconformal Calogero models |f A. V. Galajinsky, O. Lechtenfeld, K. V. Polovnikov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [Ref.: (46 tit.)] | ||
| 330 | |a We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various N=4 superconformal quantum many-body systems on the real line from a set of decoupled particles extended by fermionic degrees of freedom. The su(1,1|2) invariant models are governed by two scalar potentials obeying a system of nonlinear partial differential equations which generalizes the Witten-Dijkgraaf-Verlinde-Verlinde equations. As an application, the N=4 superconformal extension of the three-particle (A-type) Calogero model generates a unique G_2-type Hamiltonian featuring three-body interactions. We fully analyze the N=4 superconformal three- and four-particle models based on the root systems of A_1 + G_2 and F_4, respectively. Beyond Wyllard's solutions we find a list of new models, whose translational non-invariance of the center-of-mass motion fails to decouple and extends even to the relative particle motion. | ||
| 461 | |t Journal of High Energy Physics |o Scientific Journa |d 1994- | ||
| 463 | |t Vol. 11 |v [22 p.] |d 2007 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a модели Калоджеро | |
| 610 | 1 | |a Calogero model | |
| 610 | 1 | |a конформные преобразования | |
| 610 | 1 | |a nonlocal conformal transformations | |
| 610 | 1 | |a нелокальные конформные преобразования | |
| 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 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 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра высшей математики и математической физики (ВММФ) |3 (RuTPU)RU\TPU\col\18727 |
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| 856 | 4 | |u http://arxiv.org/abs/0708.1075 | |
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