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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). |
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Organisms reproduce to ensure the continued survival of their respective species. For humans, our ability to produce offspring and contribute to genetic variability in the world is made possible by our body's reproductive system. In "The Reproductive System", learn how the development of the reproductive systems in both males... |  |  Financial Risk Manager Handbook, Second EditionA comprehensive reference and training guide for financial risk management
Risk professionals looking to earn the Financial Risk Manager (FRM™) certification, corporate training programs, professors, and graduate students all rely on one book for the most comprehensive and up-to-date information on financial risk management–the... |  |  Cyber Adversary Characterization: Auditing the Hacker MindA book about hacking is a book about everything. First, the meaning of hacker.
The word “hacker” emerged in an engineering context and became popular at The Massachusetts Institute of Technology (MIT), among other places, as a way to talk about any ingenious, creative, or unconventional use of a machine ... |
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