Diagonalization of boundary transfer matrix for the $U_{q,p}(\hat{sl}(3,{\bf C}))$ ABF model

Details Diagonalization of boundary transfer matrix for the $U_{q,p}(\hat{sl}(3,{\bf C}))$ ABF model Diagonalization of boundary transfer matrix for the $U_{q,p}(\hat{sl}(3,{\bf C}))$ ABF model

2009-10-20

arxiv.org/abs/0910.3764v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Proceedings for VIII.International Workshop "Lie theory and its applications in Physics" 15-21 June 2009, Varna, Bulgaria

Scientific paper

We construct a free field realization of the ground state of the boundary
transfer matrix for the $U_{q,p}(\hat{sl}_3)$ ABF model. Using this ground
state and type-II vertex operator, we have a diagonalization of the boundary
transfer matrix.

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