Year: 2020
Type: article
Abstract: In the description of the ${\mathrm{AdS}}_{5}/{\mathrm{CFT}}_{4}$ duality by an integrable system the scattering matrix for bound states plays a crucial r\^ole: it was initially constructed for the evaluation of finite size corrections to the planar spectrum of energy levels/anomalous dimensions by the thermodynamic Bethe ansatz, and more recently it reappeared in the context of the gluing prescription of the hexagon approach to higher-point functions. In this work we present a simplified form of this scattering matrix and we make its pole structure manifest. We find some new relations between its matrix elements and also present an explicit form for its inverse. We finally discuss some of its properties including crossing symmetry. Our results will hopefully be useful for computing finite-size effects, in particular for simplifying the complicated sum integrals arising from the gluing of hexagons, as well as help towards understanding universal features of the ${\mathrm{AdS}}_{5}/{\mathrm{CFT}}_{4}$ scattering matrix.
Authors: M. de Leeuw, B. Eden, A. Sfondrini
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, Royal Society, Science Foundation Ireland, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Eidgenössische Technische Hochschule Zürich, Engineering and Physical Sciences Research Council
OpenAlex ID: W3047065202