Investigations in Two-Dimensional Quantum Field Theory by the Bootstrap and TCSA Methods

Understand

This thesis contains three main parts, which are largely independent.

• In the first part we deal with the boundary bootstrap in supersymmetric factorized scattering theory.
• We give a description of supersymmetry in the case when the space is a half-line and present rules for the determination of the representations in which higher level boundary bound states transform, and for the determination of the supersymmetric one-particle reflection matrix factors for the higher level boundary bound states.
• These rules apply under the condition that the bulk particles transform in the kink or in the boson-fermion representation.