Universal boundary reflection amplitudes
Olalla Castro-Alvaredo, Andreas Fring
TL;DR
This paper introduces a new boundary bootstrap framework for affine Toda field theories, enabling the construction of universal boundary reflection amplitudes applicable to all simple Lie algebra-related theories.
Contribution
It proposes a novel set of boundary bootstrap equations that unify solutions across all affine Toda theories linked to simple Lie algebras.
Findings
Derived explicit boundary reflection amplitudes for various Lie algebra representations
Unified boundary bootstrap equations applicable to all simple Lie algebra-based theories
Validated solutions through detailed algebraic analysis
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.
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