Articles liés à Tensor Categories and Endomorphisms of von Neumann...

Tensor Categories and Endomorphisms of von Neumann Algebras: with Applications to Quantum Field Theory - Couverture souple

Livre 3 sur 40: SpringerBriefs in Mathematical Physics

Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning

 
9783319143002: Tensor Categories and Endomorphisms of von Neumann Algebras: with Applications to Quantum Field Theory
Couverture souple
ISBN 10 : 331914300X ISBN 13 : 9783319143002
Editeur : Springer, 2015

Synopsis

C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables.

The present introductory text reviews the basic notions and their cross-relations in different contexts. The focus is on Q-systems that serve as complete invariants, both for subfactors and for extensions of quantum field theory models.

It proceeds with various operations on Q-systems (several decompositions, the mirror Q-system, braided product, centre and full centre of Q-systems) some of which are defined only in the presence of a braiding.

The last chapter gives a brief exposition of the relevance of the mathematical structures presented in the main body for applications in Quantum Field Theory (in particular two-dimensional Conformal Field Theory, also with boundaries or defects).

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

Éditeur
Springer
Date d'édition
2015
Langue
anglais
ISBN 10 
331914300X
ISBN 13 
9783319143002
Reliure
Broché
Nombre de pages
104
Coordonnées du fabricant
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