nLab
Chiral Algebras
This entry is about the book
on chiral algebras/factorization algebras in the language of D-schemes.
Contents
Introduction
1. Axiomatic patterns
2. The Geometry of $\mathcal{D}$-Schemes
2.1 $\mathcal{D}$-modules: recollection and basics
2.2 The compound tensor structure
2.3 $\mathcal{D}_X$-Schemes
2.3.1 $\mathcal{D}_X$-algebras
2.3.2 Jet schemes
2.3.20 The calculus of variations
2.4 The space of horizontal sections
2.5 $Lie^\ast$-algebras and algebroids
2.6 Coisson algebras
2.7 The Tate extension
2.8 Tate structures and characteristic classes
2.8.11
2.9 The Harish-Chandra setting and the setting of $c$-stacks
3. Local theory: chiral basics
4. Global theory: chiral homology
Much complementary content by the same authors is also in the developing book on the geometric Langlands program
A goood accessible survey of or introduction into some of the developments in this book can be found around section 8.3
and section 3 of
- Frédéric Paugam, Histories and observables in covariant field theory Journal of Geometry and Physics (2010) (arXiv)
with more details in
In the context of factorization algebra of observables:
Revised on January 26, 2013 16:35:30
by
Urs Schreiber
(89.204.154.113)