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

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

arXiv comment36 pages, Dedicated to Professor Etsuro Date on the occassion of the 60th birthday

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Cited by in corpus (4)

• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• Non-Abelian symmetries of the half-infinite XXZ spin chain
• Diagonalization of transfer matrix of supersymmetry $u_q(\widehat{sl}(m+1|n+1))$ chain with a boundary
• Correlation Functions and the Boundary qKZ Equation in a Fractured XXZ Chain