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Affine Toda Field Theory in the Presence of Reflecting Boundaries

Fring, A. & Köberle, R. (1994). Affine Toda Field Theory in the Presence of Reflecting Boundaries. Nuclear Physics B, 419(3), pp. 647-662. doi: 10.1016/0550-3213(94)90349-2

Abstract

We show that the "boundary crossing-unitarity equation" recently proposed by Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation for the S-matrix and the wall-bootstrap equation. We solve this set of equations for all affine Toda theories related to simply laced Lie algebras, obtaining explicit formulas for the W-matrix which encodes the scattering of a particle with the boundary in the ground state. For each theory there are two solutions to these equations, related by CDD-ambiguities, each giving rise to different kind of physics.

Publication Type: Article
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
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