论文标题
RTT-ALGEBRA $ \ MATHCAL {A} _n $的嵌套Bethe Ansatz
Nested Bethe Ansatz for RTT-Algebra $\mathcal{A}_n$
论文作者
论文摘要
本文继续我们最近对代数贝尔特·安萨兹(Bethe Ansatz)的SP($ 2N $)和O($ 2N $)类型的RTT代数的研究。在这些研究中,我们遇到了我们称为An的RTT-Elgebras。我们建造用于SP类型的RTT代数($ 2N $)和O($ 2N $)的Bethe载体的下一步是找到RTT-Algebras $ \ Mathcal {A a} _n $的Bethe vectors。本文使用RTT-Algebra $ \ Mathcal {A} _ {N-1} $的Bethe vectors介绍了RTT-Algebra的Bethe载体。
This paper continues our recent studies on the algebraic Bethe ansatz for the RTT-algebras of sp($2n$) and o($2n$) types. In these studies, we encountered the RTT-algebras which we called An. The next step in our construction of the Bethe vectors for the RTT-algebras of type sp($2n$) and o($2n$) is to find the Bethe vectors for the RTT-algebras $\mathcal{A}_n$. This paper deals with the construction of the Bethe vectors of the RTT-algebra An using the Bethe vectors of the RTT-algebra $\mathcal{A}_{n-1}$.