From Vertex Operator Algebras to Conformal Nets and Back (Memoirs of the American Mathematical Society)

Science & Math

Kawahigashi, Yasuyuki

Longo, Roberto

Carpi, Sebastiano

Weiner, Mihaly

Mathematics

Amer Mathematical Society

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).

Tensor Categories and Endomorphisms of von Neumann Algebras: with Applications to Quantum Field Theory (SpringerBriefs in Mathematical Physics, 3)

Bischoff, Marcel

Rehren, Karl-Henning

Springer

See the best price to sell, buy, or rent books by Longo, Roberto. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Longo, Roberto