Universal boundary reflection amplitudes

Abstract

For all affine Toda field theories we propose a new type of generic boundary bootstrap equations, which can be viewed as a very specific combination of elementary boundary bootstrap equations. These equations allow to construct generic solutions for the boundary reflection amplitudes, which are valid for theories related to all simple Lie algebras, that is simply laced and non-simply laced. We provide a detailed study of these solutions for concrete Lie algebras in various representations.

36 pages, Latex

References in corpus (8)

• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• The Josephson current in Luttinger liquid-superconductor junctions
• Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
• On universal solution to reflection equation
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Cited by in corpus (3)

• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• Form factors of boundary fields for A(2)-affine Toda field theory
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program