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Book Cover
E-book
Author Bartels, Arthur, 1971- author.

Title Fusion of defects / Arthur Bartels, Christopher L. Douglas, Andre Henriques
Published Providence, RI : American Mathematical Society, 2019

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Description 1 online resource
Series Memoirs of the American Mathematical Society ; volume 258, number 1237
Memoirs of the American Mathematical Society ; no. 1237.
Contents Defects -- Sectors -- Properties of the composition of defects -- A variant of horizontal fusion -- Haag duality for composition of defects -- The 1\boxtimes\1-isomorphism -- Components for the 3-category of conformal nets -- Von Neumann algebras -- Diagram of dependencies
Summary Conformal 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 vac
Bibliography Includes bibliographical references
Notes Print version record
Subject Topological fields.
Generalized spaces.
Topology.
Topología
Cuerpos topológicos
Generalized spaces
Topological fields
Topology
Form Electronic book
Author Douglas, Christopher L., author
Henriques, André G. (André Gil), 1977- author.
LC no. 2019012062
ISBN 9781470450656
1470450658