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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Peter Bowcock

Bowcock, P., Corrigan, Edward, Dorey, P.E. & Rietdijk, R.H. (1995). Classically integrable boundary conditions for affine Toda field theories. Nuclear Physics B 445(2-3): 469-500.

Author(s) from Durham

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.