Bethe Vectors for Orthogonal Integrable Models

A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov

Результат исследований: Вклад в журналСтатьярецензирование

4 Цитирования (Scopus)

Аннотация

We consider quantum integrable models associated with the so3 algebra and describe Bethe vectors of these models in terms of the current generators of the DY(so3) algebra. To implement this program, we use an isomorphism between the R-matrix and the Drinfeld current realizations of the Yangians and their doubles for classical type B-, C-, and D-series algebras. Using these results, we derive the actions of the monodromy matrix elements on off-shell Bethe vectors. We obtain recurrence relations for off-shell Bethe vectors and Bethe equations for on-shell Bethe vectors. The formulas for the action of the monodromy matrix elements can also be used to calculate scalar products in the models associated with the so3 algebra.

Язык оригиналаАнглийский
Страницы (с-по)1545-1564
Число страниц20
ЖурналTheoretical and Mathematical Physics
Том201
Номер выпуска2
DOI
СостояниеОпубликовано - 1 нояб. 2019

Fingerprint

Подробные сведения о темах исследования «Bethe Vectors for Orthogonal Integrable Models». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать