Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$ -Invariant Integrable Models

preprint2016arXivOpen access

We study $\mathfrak{gl}(2|1)$ symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$ -Invariant Integrable Models

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Multiple Actions of the Monodromy Matrix in gl(2∣1)\mathfrak{gl}(2|1)gl(2∣1)-Invariant Integrable Models

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$ -Invariant Integrable Models