Fusion of defects / Arthur Bartels, Christopher L. Douglas, Andre Henriques.

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 defect...

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Bibliographic Details
Main Authors: Bartels, Arthur, 1971- (Author), Douglas, Christopher L. (Author), Henriques, André G. (André Gil), 1977- (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, 2019.
Series:Memoirs of the American Mathematical Society ; no. 1237.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Bartels, Arthur,  |d 1971-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJtCBGMKcrWRJ3Gycj8Bfq 
245 1 0 |a Fusion of defects /  |c Arthur Bartels, Christopher L. Douglas, Andre Henriques. 
264 1 |a Providence, RI :  |b American Mathematical Society,  |c 2019. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society ;  |v volume 258, number 1237 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a 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. 
520 |a 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. 
650 0 |a Topological fields. 
650 0 |a Generalized spaces. 
650 0 |a Topology. 
650 7 |a Topología  |2 embne 
650 0 7 |a Cuerpos topológicos  |2 embucm 
650 7 |a Generalized spaces  |2 fast 
650 7 |a Topological fields  |2 fast 
650 7 |a Topology  |2 fast 
700 1 |a Douglas, Christopher L.,  |e author. 
700 1 |a Henriques, André G.  |q (André Gil),  |d 1977-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjD7tWcHbkb93F8YJYmV3P 
776 0 8 |i Print version:  |z 9781470435233  |w (DLC) 2019012062  |w (OCoLC)1079399288 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1237. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=5770282  |y Click for online access 
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