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OverviewConformal nets provide a mathematical model for conformal field theory. The authors define a notion of defect between conformal nets, formalizing the idea of an interaction between two conformal field theories. They introduce an operation of fusion of defects, and prove that the fusion of two defects is again a defect, provided the fusion occurs over a conformal net of finite index. There is a notion of sector (or bimodule) between two defects, and operations of horizontal and vertical fusion of such sectors. The authors' most difficult technical result is that the horizontal fusion of the vacuum sectors of two defects is isomorphic to the vacuum sector of the fused defect. Equipped with this isomorphism, they construct the basic interchange isomorphism between the horizontal fusion of two vertical fusions and the vertical fusion of two horizontal fusions of sectors. Full Product DetailsAuthor: Arthur Bartels , Christopher Douglas , Andre HenriquesPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.170kg ISBN: 9781470435233ISBN 10: 1470435233 Pages: 102 Publication Date: 30 May 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsAcknowledgments Introduction Defects Sectors Properties of the composition of defects A variant of horizontal fusion Haag duality for composition of defects The $1 \boxtimes 1$-isomorphism Appendix A. Components for the 3-category of conformal nets Appendix B. Von Neumann algebras Appendix C. Conformal nets Appendix D. Diagram of dependencies Bibliography.ReviewsAuthor InformationArthur Bartels, Westfalische Wilhelms-Universitat Munster, Germany. Christopher Douglas, University of Oxford, United Kingdom. Andre Henriques, Universiteit Utrecht, The Netherlands. Tab Content 6Author Website:Countries AvailableAll regions |
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