Reflection factors and exact g-functions for purely elastic scattering theories

Abstract

We discuss reflection factors for purely elastic scattering theories and relate them to perturbations of specific conformal boundary conditions, using recent results on exact off-critical g-functions. For the non-unitary cases, we support our conjectures using a relationship with quantum group reductions of the sine-Gordon model. Our results imply the existence of a variety of new flows between conformal boundary conditions, some of them driven by boundary-changing operators.

arXiv comment45 pages, 7 figures. v2: minor typos corrected, 3 new references and some further discussion of the massless boundary flows included

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Cited by in corpus (19)

• Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
• Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories
• Exact entanglement entropy of the XYZ model and its sine-Gordon limit
• Boundary Entropy Can Increase Under Bulk RG Flow
• On O(1) contributions to the free energy in Bethe Ansatz systems: the exact g-function
• Exact g-function flow between conformal field theories
• g-Functions and gluon scattering amplitudes at strong coupling
• T-functions and multi-gluon scattering amplitudes
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
• Functional Equations and Separation of Variables for Exact g-Function
• Exact g-function flows from the staircase model
• MHV amplitudes at strong coupling and linearized TBA equations
• Quantum complex sine-Gordon model on a half line
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• Boundary entropy of integrable perturbed $SU(2{)}_k$ WZNW
• Gluon scattering amplitudes from gauge/string duality and integrability
• A diagrammatic approach towards the thermodynamics of integrable systems
• Moduli space coordinates and excited state g-functions