N=4 mechanics, WDVV equations and roots; Journal of High Energy Physics; Vol. 0903

N=4 mechanics, WDVV equations and roots; Journal of High Energy Physics; Vol. 0903

Бібліографічні деталі
Parent link:Journal of High Energy Physics: Scientific Journal.— , 1997-
Vol. 0903.— 2009.— [26 p.]
Автор: Galajinsky A. V. Anton Vladimirovich
Співавтор: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Інші автори: Lechtenfeld O. Olaf, Polovnikov K. V. Kirill Viktorovich
Резюме: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.
Мова:Англійська
Опубліковано: 2009
Предмети:
электронный ресурс
труды учёных ТПУ
Онлайн доступ:http://arxiv.org/abs/0802.4386
Формат: Електронний ресурс Частина з книги
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636148

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