Generalisations of the Coleman-Thun mechanism and boundary reflection factors

Abstract

We make a complete pole analysis of the reflection factors of the boundary scaling Lee-Yang model. In the process we uncover a number of previously unremarked mechanisms for the generation of simple poles in boundary reflection factors, which have implications for attempts to close the boundary bootstrap in more general models. We also explain how different boundary conditions can sometimes share the same fundamental reflection factor, by relating the phenomenon to potential ambiguities in the interpretation of certain poles. In the case discussed, this ambiguity can be lifted by specifying the sign of a bulk-boundary coupling. While the recipe we employ for the association of poles with general on-shell diagrams is empirically correct, we stress that a justification on the basis of more fundamental principles remains a challenge for future work.

12 pages, Latex 2e, 10 figures, uses epsf, amssymb, cite

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• TBA and TCSA with boundaries and excited states
• g-function flow in perturbed boundary conformal field theories
• Excited states in some simple perturbed conformal field theories
• On duality and reflection factors for the sinh-Gordon model
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Cited by in corpus (32)

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• Solving topological defects via fusion
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• Reflection factors and a two-parameter family of boundary bound states in the sinh-Gordon model
• Finite size effects in boundary sine-Gordon theory
• One-point functions in perturbed boundary conformal field theories
• The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
• Boundary state bootstrap and asymptotic overlaps in AdS/dCFT
• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
• On perturbative quantum field theory with boundary
• Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure
• The scaling supersymmetric Yang-Lee model with boundary
• Boundary breathers in the sinh-Gordon model
• Issues on magnon reflection
• On the reflection of magnon bound states
• Spectrum of local boundary operators from boundary form factor bootstrap
• On form factors of boundary changing operators
• Integrable Quantum Field Theories, in the Bulk and with a Boundary
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• Boundary renormalisation group flows of the supersymmetric Lee-Yang model and its extensions
• Quantisation of the effective string with TBA
• Universal boundary reflection amplitudes
• Explicit boundary form factors: the scaling Lee-Yang model
• Boundary bootstrap principle in two-dimensional integrable quantum field theories
• TCSA and the finite volume boundary state
• Boundary scattering in the SU(N) principal chiral model on the half-line with conjugating boundary conditions
• Lee-Yang Model in Presence of Defects
• Boundary effects in two-dimensional critical and off-critical systems
• Boundary reflection matrices of massive ${\varphi }_{1,3}$-perturbed unitary minimal models