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Classically integrable boundary conditions for affine Toda field theories (1995)
Journal Article
Bowcock, P., Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Classically integrable boundary conditions for affine Toda field theories. Nuclear Physics B, 445(2-3), 469-500. https://doi.org/10.1016/0550-3213%2895%2900153-j

Boundary conditions compatible with classical integrability are studied both directly, using an approach based on the explicit construction of conserved quantities, and indirectly by first developing a generalisation of the Lax pair idea. The latter... Read More about Classically integrable boundary conditions for affine Toda field theories.

Aspects of affine Toda field theory on a half line. (1995)
Journal Article
Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Aspects of affine Toda field theory on a half line. Progress of theoretical physics. Supplement, 118, 143-164. https://doi.org/10.1143/ptps.118.143

The equation of the integrability of real-coupling affine Toda field theory on a half line is discussed. It is shown, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particul... Read More about Aspects of affine Toda field theory on a half line..