Diagonalization of infinite transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model

Details Diagonalization of infinite transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model Diagonalization of infinite transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model

2010-07-22

arxiv.org/abs/1007.3795v2

J.Math.Phys.52:013501,2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

36 pages, Dedicated to Professor Etsuro Date on the occassion of the 60th birthday

Scientific paper

10.1063/1.3521604

We study infinitely many commuting operators $T_B(z)$, which we call infinite
transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model. We diagonalize
infinite transfer matrix $T_B(z)$ by using free field realizations of the
vertex operators of the elliptic quantum group $U_{q,p}(A_{N-1}^{(1)})$.

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