**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

**Algebraic Quantum Field Theory**

by

**Hans Halvorson, Michael Mueger**-

**arXiv**

This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.

(

**8655**views)

**Quantum Field Theory on Noncommutative Spaces**

by

**Richard J. Szabo**-

**arXiv**

An introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, etc.

(

**7573**views)

**Introduction to Algebraic and Constructive Quantum Field Theory**

by

**John C. Baez, Irving E. Segal, Zhengfang Zhou**-

**Princeton University Press**

The book presents a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. The authors address readers interested in fundamental mathematical physics and who have the training of a graduate student.

(

**7890**views)

**An Introduction to Quantum Field Theory**

by

**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.

(

**5303**views)