A representation of the exchange relation for affine Toda field theory

Abstract

Vertex operators are constructed providing representations of the exchange relations containing either the S-matrix of a real coupling (simply-laced) affine Toda field theory, or its minimal counterpart. One feature of the construction is that the bootstrap relations for the S-matrices follow automatically from those for the conserved quantities, via an algebraic interpretation of the fusing of two particles to form a single bound state.

18 pages

Cited by in corpus (7)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Affine Toda Field Theory in the Presence of Reflecting Boundaries
• Vertex Operators and Soliton Time Delays in Affine Toda Field Theory
• Exact S-Matrices for Bound States of $a_2^{(1)}$ Affine Toda Solitons
• A sufficient criterion for integrability of stochastic many-body dynamics and quantum spin chains
• The Quantum Spectrum of the Conserved Charges in Affine Toda Theories
• Restricted Quantum Theory of Affine Toda Solitons