177 citations · 633 across the 31 of their papers we have counts for
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Exact triangles as modules over an -category
Theo Johnson-Freyd
This note describes a strictly-unital -category whose representations are exact triangles such that the three-fold symmetry on exact triangles is manifest on the $A_\inft…
Heisenberg-picture quantum field theory
Theo Johnson-Freyd
What we should mean by "Heisenberg-picture quantum field theory"? Atiyah--Segal-type axioms do a good job of capturing the "Schrödinger picture": these axioms define a "-dimensi…
Spin, statistics, orientations, unitarity
Theo Johnson-Freyd
A topological quantum field theory is Hermitian if it is both oriented and complex-valued, and orientation-reversal agrees with complex-conjugation. A field theory satisfies spin-s…
(Op)lax natural transformations, twisted quantum field theories, and "even higher" Morita categories
Theo Johnson-Freyd, Claudia Scheimbauer
Motivated by the challenge of defining twisted quantum field theories in the context of higher categories, we develop a general framework for lax and oplax transformations and thei…