N=4 mechanics, WDVV equations and roots; Journal of High Energy Physics; Vol. 0903
| Parent link: | Journal of High Energy Physics: Scientific Journal.— , 1997- Vol. 0903.— 2009.— [26 p.] |
|---|---|
| Main Author: | |
| Corporate Author: | |
| Other Authors: | , |
| Summary: | Title screen N=4 superconformal multi-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial differential equations linear in U and generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. Putting U=0 yields a class of models (with zero central charge) which are encoded by the finite Coxeter root systems. We extend these WDVV solutions F in two ways: the A_n system is deformed n-parametrically to the edge set of a general orthocentric n-simplex, and the BCF-type systems form one-parameter families. A classification strategy is proposed. A nonzero central charge requires turning on U in a given F background, which we show is outside of reach of the standard root-system ansatz for indecomposable systems of more than three particles. In the three-body case, however, this ansatz can be generalized to establish a series of nontrivial models based on the dihedral groups I_2(p), which are permutation symmetric if 3 divides p. We explicitly present their full prepotentials. |
| Language: | English |
| Published: |
2009
|
| Subjects: | |
| Online Access: | http://arxiv.org/abs/0802.4386 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636148 |
MARC
| LEADER | 00000nla0a2200000 4500 | ||
|---|---|---|---|
| 001 | 636148 | ||
| 005 | 20250313143054.0 | ||
| 035 | |a (RuTPU)RU\TPU\network\29 | ||
| 090 | |a 636148 | ||
| 100 | |a 20131009d2009 k||y0rusy50 ba | ||
| 101 | 0 | |a eng | |
| 102 | |a DE | ||
| 135 | |a drgn ---uucaa | ||
| 181 | 0 | |a i | |
| 182 | 0 | |a b | |
| 200 | 1 | |a N=4 mechanics, WDVV equations and roots |f A. V. Galajinsky, O. Lechtenfeld, K. V. Polovnikov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 330 | |a N=4 superconformal multi-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial differential equations linear in U and generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. Putting U=0 yields a class of models (with zero central charge) which are encoded by the finite Coxeter root systems. We extend these WDVV solutions F in two ways: the A_n system is deformed n-parametrically to the edge set of a general orthocentric n-simplex, and the BCF-type systems form one-parameter families. A classification strategy is proposed. A nonzero central charge requires turning on U in a given F background, which we show is outside of reach of the standard root-system ansatz for indecomposable systems of more than three particles. In the three-body case, however, this ansatz can be generalized to establish a series of nontrivial models based on the dihedral groups I_2(p), which are permutation symmetric if 3 divides p. We explicitly present their full prepotentials. | ||
| 461 | |t Journal of High Energy Physics |o Scientific Journal |d 1997- | ||
| 463 | |t Vol. 0903 |v [26 p.] |d 2009 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 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 |
| 801 | 2 | |a RU |b 63413507 |c 20171120 |g RCR | |
| 856 | 4 | |u http://arxiv.org/abs/0802.4386 | |
| 942 | |c CF | ||