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math-ph2008★ 3 cited
Murphy elements from the double-row transfer matrix
Anastasia Doikou
We consider the double-row (open) transfer matrix constructed from generic tensor-type representations of various types of Hecke algebras. For different choices of boundary conditi…
hep-th2008★ 18 cited
Boundary Lax pairs for the Toda field theories
Jean Avan, Anastasia Doikou
Based on the recent formulation of a general scheme to construct boundary Lax pairs,we develop this systematic construction for the affine Toda field theories (ATFT). W…
hep-th2008★ 12 cited
affine Toda field theories with integrable boundary conditions revisited
Anastasia Doikou
Generic classically integrable boundary conditions for the affine Toda field theories (ATFT) are investigated. The present analysis rests primarily on the underlying…