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Original publication:

Title: On factorizing F -matrices in Y(sl_n) and U_q(sl_n) spin chains
Author(s): S G McAteer, M Wheeler
As Contributors: (none claimed)
Journal ref.: J. Stat. Mech. 2012, P04016
Date: 2012-04-30


We consider quantum spin chains arising from N-fold tensor products of the fundamental evaluation representations of Y(sl_n) and U_q(sl_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.

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