Two-Dimensional Auto-Regressive Model

Abstract

A new type of two-dimensional random field model, named the two-dimensional auto-regressive model, is introduced for stochastic repre

Thesl2loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity

“…Then, we can show that they satisfy the defining relations of the sl 2 loop algebra: (17), (18) and (19).…”

“…The relations (17) hold for generic q, while the higher Serre relations (19) hold if q is a primitive 2N th root of unity or a primitive N th root of unity with N odd [12,26]. The relation (18) holds if q is a primitive 2N th root of unity with N even or a primitive N th root of unity with N odd.…”

“…Here S Z denotes the Z component of the total spin operator. Several aspects of the sl 2 loop algebra symmetry of the XXZ spin chain has been studied [13,14,15,16,17,18,19]. In particular, its connection to the spectral degeneracies of the transfer matrix of the eight-vertex model has been discussed [16,17].…”