On factorizing F-matrices in Y(sl n) and U q(sl̂ n) spin chains

Abstract

We consider quantum spin chains arising from N-fold tensor products of the fundamental evaluation representations of Y(sl n) and U q(sl̂ 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. © 2012 IOP Publishing Ltd and SISSA Medialab srl.