A Prehistory of n-Categorical Physics

Details A Prehistory of n-Categorical Physics A Prehistory of n-Categorical Physics

2009-08-18

arxiv.org/abs/0908.2469v1

Deep beauty, 13-128, Cambridge Univ. Press, Cambridge, 2011

Physics

High Energy Physics

High Energy Physics - Theory

129 pages, 8 eps figures

Scientific paper

10.1017/CBO9780511976971.003

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.

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