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Division Algebras and Supersymmetry I
John C. Baez, John Huerta
Supersymmetry is deeply related to division algebras. Nonabelian Yang-Mills fields minimally coupled to massless spinors are supersymmetric if and only if the dimension of spacetim…
A Prehistory of n-Categorical Physics
John C. Baez, Aaron Lauda
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…
Higher-Dimensional Algebra VII: Groupoidification
John C. Baez, Alexander E. Hoffnung, Christopher D. Walker
Groupoidification is a form of categorification in which vector spaces are replaced by groupoids, and linear operators are replaced by spans of groupoids. We introduce this idea wi…
Physics, Topology, Logic and Computation: A Rosetta Stone
John C. Baez, Mike Stay
In physics, Feynman diagrams are used to reason about quantum processes. In the 1980s, it became clear that underlying these diagrams is a powerful analogy between quantum physics…
Categorified Symplectic Geometry and the String Lie 2-Algebra
John C. Baez, Christopher L. Rogers
Multisymplectic geometry is a generalization of symplectic geometry suitable for n-dimensional field theories, in which the nondegenerate 2-form of symplectic geometry is replaced…