On factorizing $F$-matrices in $Y(s{l}_n)$ and $U_q(\widehat{s{l}_n})$ spin chains

Abstract

We consider quantum spin chains arising from $N$-fold tensor products of the fundamental evaluation representations of $Y(s{l}_n)$ and $U_q(\widehat{s{l}_n})$. Using the partial $F$-matrix formalism from the seminal work of Maillet and Sanchez de Santos, we derive a completely factorized expression for the $F$-matrix of such models and prove its equivalence to the expression obtained by Albert, Boos, Flume and Ruhlig. A new relation between the $F$-matrices and the Bethe eigenvectors of these spin chains is given.

30 pages

References in corpus (2)

• Nested Bethe ansatz for "all" closed spin chains
• Factorizing $F$-matrices and the XXZ spin-1/2 chain: A diagrammatic perspective

Cited by in corpus (1)

• Bethe Ansatz, Quantum Circuits, and the F-basis