The present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories"

This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum

Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vect

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

This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced te