Lectures on Tensor Categories and Modular Functors
by Bojko Bakalov, Alexander Kirillov
Publisher: American Mathematical Society 2000
ISBN/ASIN: 0821826867
ISBN-13: 9780821826867
Number of pages: 221
Description:
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 group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). It would be suitable as a course text at the advanced-graduate level.
Download or read it online for free here:
Download link
(multiple PS files)
Similar books
Nonequilibrium Quantum Fields: From Cold Atoms to Cosmologyby J. Berges - arXiv
Lecture notes. From the table of Contents: Introduction; Nonequilibrium quantum field theory; Thermalization; Classical aspects of nonequilibrium quantum fields; Nonequilibrium instabilities; Nonthermal fixed points and turbulence.
(8213 views)
Algebraic Quantum Field Theory: An Introductionby Christopher J. Fewster, Kasia Rejzner - arXiv.org
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulations of quantum theory and the GNS representation theorem, etc.
(6316 views)
Introduction to Quantum Field Theoryby Matthew Schwartz - Harvard University
The approach is to emphasize that Quantum Field Theory is first and foremost a tool for performing practical calculations. I will emphasize the physical problems which have driven the development of the field, and to show how they can be solved.
(9167 views)
Quantum Field Theory and Functional Integralsby Nima Moshayedi - arXiv.org
We describe Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view, where focus lies in Euclidean field theory. Gaussian measure and the construction of the Wiener measure are covered.
(5664 views)