# Spacetimes categories and disjointness for algebraic quantum field theory

@inproceedings{GrantStuart2022SpacetimesCA, title={Spacetimes categories and disjointness for algebraic quantum field theory}, author={Alastair Grant-Stuart}, year={2022} }

An algebraic quantum field theory (AQFT) may be expressed as a functor from a category of spacetimes to a category of algebras of observables. However, a generic category C whose objects admit interpretation as spacetimes is not necessarily viable as the domain of an AQFT functor; often, additional constraints on the morphisms of C must be imposed. We introduce disjointness relations, a generalisation of the orthogonality relations of Benini, Schenkel and Woike [BSW21]. In any category C…

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