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A Prehistory of n-Categorical Physics

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arxiv 0908.2469 v1 pith:3YDNOSNP submitted 2009-08-18 hep-th gr-qcmath.CTmath.QA

classification hep-thgr-qcmath.CTmath.QA
keywords quantumtheorytopologicalfieldgroupsphysicsrolestring
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum geometry from higher gauge theory

    gr-qc 2019-08 conditional novelty 7.0 of 10

    The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.

  2. Double Categories of Open Systems: the Cospan Approach

    math.CT 2025-09 conditional novelty 4.0 of 10

    Structured and decorated cospan double categories for open systems have an exoskeleton/outer shell structure, and every object in them is a special symmetric Frobenius pseudomonoid.

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