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arXiv · hep-th/9404108

Affine Toda field theory on a half line

E. Corrigan·P. E. Dorey·R. H. Rietdijk·R. Sasaki
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Abstract

The question of the integrability of real-coupling affine toda field theory on a half-line is addressed. It is found, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particular, for the $a_n\ (n>1)$ series of models there can be no free parameters introduced by the boundary condition; indeed the only remaining freedom (apart from choosing the simple condition $\partial_1ϕ=0$), resides in a choice of signs. For a special case of the boundary condition, it is argued that the classical boundary bound state spectrum is closely related to a consistent set of reflection factors in the quantum field theory.

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E. Corrigan, P. E. Dorey, R. H. Rietdijk, R. Sasaki. 1994-04-18. Affine Toda field theory on a half line. https://doi.org/10.1016/0370-2693(94)91011-1

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