Classically integrable boundary conditions for affine Toda field theories

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.

36 pages, harvmac

References in corpus (4)

• Affine Toda field theory on a half line
• The boundary sine-Gordon theory: classical and semi-classical analysis
• Aspects of affine Toda field theory on a half line
• Conservation laws for the classical Toda field theories

Cited by in corpus (98)

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• Background field boundary conditions for affine Toda field theories
• The Super-Liouville-Equation on the Half-Line
• Boundary breathers in the sinh-Gordon model
• Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
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