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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 |
| DOI: | http://dx.doi.org/10.1088/1742-5468/2012/04/P04016 |
| Date: | 2012-04-30 |
Abstract:
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.