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

Takeo Kojima

doi:10.1063/1.3521604

paper

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

arXiv:1007.3795 · doi:10.1063/1.3521604

Abstract

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 $U_{q, p} (A_{N - 1}^{(1)})$ .

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

Diagonalization of infinite transfer matrix of boundary Uq,p​(AN−1(1)​) face model

Abstract

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