Classically integrable boundary conditions for affine Toda field theories

Bowcock, P.; Corrigan, Edward; Dorey, P.E.; Rietdijk, R.H.

Abstract

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 approach is closer to the spirit of earlier work by Sklyanin and yields a complete set of conjectures for permissible boundary conditions for any affine Toda field theory.

Citation

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

• Journal Article Type: Article
• Publication Date: 1995-07
• Deposit Date: Feb 17, 2011
• Journal: Nuclear Physics B
• Print ISSN: 0550-3213
• Electronic ISSN: 1873-1562
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 445
• Issue: 2-3
• Pages: 469-500
• DOI: https://doi.org/10.1016/0550-3213%2895%2900153-j
• Public URL: https://durham-repository.worktribe.com/output/1543479