Téléchargez le livre : Tensor Categories and Endomorphisms of von Neumann Algebras

Tensor Categories and Endomorphisms of von Neumann Algebras

with Applications to Quantum Field Theory de

, , ,

Éditeur :

Springer


Collection :

SpringerBriefs in Mathematical Physics

Paru le : 2015-01-13

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Description

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).
Pages
94 pages
Collection
SpringerBriefs in Mathematical Physics
Parution
2015-01-13
Marque
Springer
EAN papier
9783319143002
EAN EPUB
9783319143019
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
9
Taille du fichier
2714 Ko
Prix
52,74 €

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