Algebraic Bethe ansatz for the FPL2 model

@inproceedings{Jacobsen2004AlgebraicBA,
  title={Algebraic Bethe ansatz for the FPL2 model},
  author={Jesper Lykke Jacobsen and Paul Zinn-Justin},
  year={2004}
}
An exact solution of the model of fully packed loops of two colours on a square lattice has recently been proposed by Dei Cont and Nienhuis using the coordinate Bethe ansatz approach. We point out here a simpler alternative, in which the transfer matrix is directly identified as a product of R-matrices; this allows us to apply the (nested) algebraic Bethe ansatz, which leads to the same Bethe equations. We comment on some of the applications of this result.