On This Page
Description
This is a revised and expanded edition of Kac's original introduction to algebraic aspects of conformal field theory, which was published by the AMS in 1996. The volume serves as an introduction to algebraic aspects of conformal field theory, which in the past 15 years revealed a variety of unusual mathematical notions. Vertex algebra theory provides an effective tool to study them in a unified way. In the book, a mathematician encounters new algebraic structures that originated from show more Einstein's special relativity postulate and Heisenberg's uncertainty principle. A physicist will find familiar notions presented in a more rigorous and systematic way, possibly leading to a better understanding of foundations of quantum physics. This revised edition is based on courses given by the author at MIT and at Rome University in spring 1997. New material is added, including the foundations of a rapidly growing area of algebraic conformal theory. Also, in some places the exposition has been significantly simplified. show lessTags
Members
- Recently Added By
Author Information
10 Works 87 Members
Series
Common Knowledge
- Canonical title
- Vertex Algebras for Beginners
- First words
- Let M be th d-dimensional Minkowski space (space-time), i.e., the d-dimnsional real vector space with metric
|x - y|² = (x₀ - y₀)² - (x₁ - y₁)² - ... - (x_{d - 1} - y_{d - 1})². - Last words
- (Click to show. Warning: May contain spoilers.)Conjecture 5.9. Any simple conformal superalgebra of finite rank is isomorphic either to the current conformal superalgebra associated to a simple finite-dimensional Lie superalgebra (classified in [K1]), or to one of the following conformal superalgebras (n ∈ ℤ₊): W(n), S'(n + 1; 1), K(n; 0) (see [KL1]), CK₆ (see [CK]).
Classifications
Statistics
- Members
- 13
- Popularity
- 1,775,550
- Languages
- English
- Media
- Paper, Ebook
- ISBNs
- 3
