Classically integrable boundary conditions for affine Toda field theories

Jan, 1995
32 pages
Published in:
  • Nucl.Phys.B 445 (1995) 469-500
  • Published: 1995
e-Print:
Report number:
  • DTP-94-57

Citations per year

19952003201120192025024681012
Abstract: (arXiv)
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.
Note:
  • 36 pages, harvmac
  • field theory: Toda
  • field theory: affine
  • dimension: 2
  • boundary condition
  • integrability
  • differential equations: Lax
  • charge: conservation law