Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain

Скорочена інформація про документ
dc.contributor.authorBelliard, S.
dc.contributor.authorPimenta, R.A.
dc.date.accessioned2019-02-13T17:59:00Z
dc.date.available2019-02-13T17:59:00Z
dc.date.issued2015
dc.description.abstractWe consider the XXX spin-1/2 Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and its dual. We obtain modified Slavnov and Gaudin-Korepin formulas for the model. Thus we provide a first example of such formulas for quantum integrable models without U(1) symmetry characterized by an inhomogenous Baxter T-Q equation.uk_UA
dc.description.sponsorshipWe thank J. Avan, N. Grosjean and R Nepomechie for discussions. R.A.P. would like to thanks the hospitality of the Laboratoire de Physique Th´eorique et Mod´elisation at the Universit´e de Cergy-Pontoise where a part of this work was done. S.B. is supported by the Universit´e de Cergy-Pontoise post doctoral fellowship. R.A.P. is supported by Sao Paulo Research Foundation (FAPESP), grants # 2014/00453-8 and # 2014/20364-0. We also thank the referees for their constructive remarks.uk_UA
dc.identifier.citationSlavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain / S. Belliard, R.A. Pimenta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 37 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 82B23; 81R12
dc.identifier.otherDOI:10.3842/SIGMA.2015.099
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147162
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleSlavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chainuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
099-Belliard.pdf
Розмір:
364.3 KB
Формат:
Adobe Portable Document Format
Завантажити

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Колекція

Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік