Classically integrable boundary conditions for affine Toda field theories

Details Classically integrable boundary conditions for affine Toda field theories Classically integrable boundary conditions for affine Toda field theories

1995-01-20

arxiv.org/abs/hep-th/9501098v1

Nucl.Phys. B445 (1995) 469-500

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, harvmac

Scientific paper

10.1016/0550-3213(95)00153-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 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.

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