A Prehistory of n-Categorical Physics
High Energy Physics - Theory
2012-04-16 v1 General Relativity and Quantum Cosmology
Category Theory
Quantum Algebra
Abstract
This paper traces the growing role of categories and n-categories in physics, starting with groups and their role in relativity, and leading up to more sophisticated concepts which manifest themselves in Feynman diagrams, spin networks, string theory, loop quantum gravity, and topological quantum field theory. Our chronology ends around 2000, with just a taste of later developments such as open-closed topological string theory, the categorification of quantum groups, Khovanov homology, and Lurie's work on the classification of topological quantum field theories.
Keywords
Cite
@article{arxiv.0908.2469,
title = {A Prehistory of n-Categorical Physics},
author = {John C. Baez and Aaron Lauda},
journal= {arXiv preprint arXiv:0908.2469},
year = {2012}
}
Comments
129 pages, 8 eps figures