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Reflection factors and exact g-functions for purely elastic scattering theories
Institution:1. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom;2. Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Chonju 561-756, South Korea;3. Dipartimento di Fisica Teorica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino, Italy;1. Institute of Physics, Eötvös University, 1117 Budapest, Pázmány Péter sétány 1/A, Hungary;2. SISSA and INFN, via Bonomea 265, 34136 Trieste, Italy;3. MTA-BME “Momentum” Statistical Field Theory Research Group, 1111 Budapest, Budafoki út 8., Hungary;4. Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Budafoki út 8., Hungary;1. Universidad Politécnica de Madrid, Pza. Cardenal Cisneros n3, Madrid, 28040, Spain;2. Universidad Carlos III, Av. de la Universidad 30, Leganés, 28911, Madrid, Spain;1. Departement of Electrical and Computer Engineering, Sultan Quaboos University, Muscut, Oman;2. Département de génie électrique, École de technologie supérieure 1100, Montréal, Canada;3. Department of Engineering Design and Mathematics, University of the West of England, Frenchy Campus, Coldharbour Lane, Bristol, BS16 1QY, UK;1. Naval Aeronautical and Astronautical University, Yantai-264001, China;2. Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, China
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.
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