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A Prehistory of n-Categorical Physics (2009)

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.. Comment: 129 pages, 8 eps figures

Publication details
Download http://arxiv.org/abs/0908.2469
Repository arXiv (United States)
Keywords High Energy Physics - Theory, General Relativity and Quantum Cosmology, Mathematics - Category Theory, Mathematics - Quantum Algebra
Type text