[show abstract][hide abstract] ABSTRACT: We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee-Yang model as testing ground, we compare the matrix elements extracted from boundary truncated conformal space approach to exact form factors obtained using the bootstrap method. We obtain solid confirmation for the boundary form factor bootstrap, which is different from all previously available tests in that it is a non-perturbative and direct comparison of exact form factors to multi-particle matrix elements of local operators, computed from the Hamiltonian formulation of the quantum field theory.
[show abstract][hide abstract] ABSTRACT: In this paper we examine the supersymmetric Lee–Yang model in the presence of boundaries. We determine the reflection factors for the Neveu–Schwarz type boundary conditions from the reduction of the supersymmetric sine-Gordon model and check them by using boundary truncated conformal space approach in the massless case. We explore the boundary renormalisation groups flows using boundary TBA and TCSA.
[show abstract][hide abstract] ABSTRACT: In this paper we investigate renormalisation group flows of supersymmetric minimal models generated by the boundary perturbing field . Performing the Truncated Conformal Space Approach analysis the emerging pattern of the flow structure is consistent with the theoretical expectations. According to the results, this pattern can be naturally extended to those cases for which the existing predictions are uncertain.