Fusion of Defects - Couverture souple

Bartels, Arthur; Douglas, Christopher; Henriques, Andre

 
9781470435233: Fusion of Defects
Couverture souple
ISBN 10 : 1470435233 ISBN 13 : 9781470435233
Editeur : American Mathematical Society, 2019

Synopsis

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 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Arthur Bartels, Westfalische Wilhelms-Universitat Munster, Germany.

Christopher Douglas, University of Oxford, United Kingdom.

Andre Henriques, Universiteit Utrecht, The Netherlands.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2019
Langue
anglais
ISBN 10 
1470435233
ISBN 13 
9781470435233
Reliure
Broché
Nombre de pages
102
Coordonnées du fabricant
non disponible
Personne responsable
non disponible