Affine Toda field theory on a half line

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, TEX (harvmac), DTP-94/7, YITP/U-94-11

Scientific paper

10.1016/0370-2693(94)91011-1

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 $\partial_1\phi =0$), 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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