%0 Journal Article
%T Boundary scattering, symmetric spaces and the principal chiral model on the half-line
%A N. J. MacKay
%A B. J. Short
%J Mathematics
%D 2001
%I arXiv
%R 10.1007/s00220-002-0735-y
%X We investigate integrable boundary conditions (BCs) for the principal chiral model on the half-line, and rational solutions of the boundary Yang-Baxter equation (BYBE). In each case we find a connection with (type I, Riemannian, globally) symmetric spaces G/H: there is a class of integrable BCs in which the boundary field is restricted to lie in a coset of H; these BCs are parametrized by G/H x G/H; there are rational solutions of the BYBE in the defining representations of all classical G parametrized by G/H; and using these we propose boundary S-matrices for the principal chiral model, parametrized by G/H x G/H, which correspond to our boundary conditions.
%U http://arxiv.org/abs/hep-th/0104212v3