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
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.
(6106 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.
(6919 views)
Introductory Lectures on Topological Quantum Field Theoryby Nils Carqueville, Ingo Runkel - arXiv.org
These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation assuming no or little prior exposure. We highlight the algebraic formulation emerging from a formal generators-and-relations description.
(7279 views)
An Introduction to Quantum Field Theoryby Mrinal Dasgupta - University of Manchester
Presently, all observational evidence points to the fact that Quantum Field Theory provides a good description of all known elementary particles. The scope of these lectures is to provide an introduction to the formalism of Quantum Field Theory.
(13376 views)