**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

**Advances in Quantum Field Theory**

by

**Sergey Ketov**-

**InTech**

Advances in Quantum Field Theory covers some current applications of quantum field theory to various areas of modern physics and mathematics, in order to offer a deeper understanding of known facts and unsolved problems.

(

**4852**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.

(

**8354**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.

(

**8596**views)

**Quantum Field Theory, Black Holes and Holography**

by

**Chethan Krishnan**-

**arXiv**

These notes are an expanded version of lectures given in 2010. The aim is to provide a practical introduction to quantum field theory in curved spacetime and related black hole physics, with AdS / CFT as the loose motivation.

(

**5099**views)