Quantum Mathematics Seminar: Alastair Grant-Stuart (Brandeis)

MS Teams talk
Wednesday 16th February 2022 (14:00-15:00)

Robert Laugwitz (organizer)



Quantum Maths Seminar, external speaker:

Speaker: Alastair Grant-Stuart (Brandeis University)

Title: Spacetimes categories and disjointness for algebraic quantum field theory

Abstract: 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 whose objects admit interpretation as spacetimes is not necessarily viable as the domain of an AQFT functor; often, additional constraints on morphisms must be imposed. We introduce disjointness relations, a generalisation of the orthogonality relations of Benini, Schenkel and Woike (2021). In any category equipped with a disjointness relation, we prescribe a subcategory which is suitable as the domain of an AQFT. We test this prescription in two familiar contexts: standard relativistic QFTs and chiral CFTs. In the former, the prescription reproduces the familiar domain category Loc used for locally covariant relativistic AQFTs. In the latter, it produces a domain category which we describe explicitly and compare to standard conformal-net-based descriptions of chiral CFT.

One hour talk, followed by informal discussion.

All are welcome. Please contact the seminar organizer to be added to the talk.

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

For all enquiries please visit: