English

Classically integrable boundary conditions for affine Toda field theories

High Energy Physics - Theory 2016-09-06 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9501098,
  title  = {Classically integrable boundary conditions for affine Toda field theories},
  author = {P Bowcock and E Corrigan and PE Dorey and RH Rietdijk},
  journal= {arXiv preprint arXiv:hep-th/9501098},
  year   = {2016}
}

Comments

36 pages, harvmac