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The Tameness of Quantum Field Theories 

April 24, 2023 @ 11:00 am - 12:00 pm

Swampland Seminar

Speaker: Thomas Grimm (Utrecht U.)

Title: The Tameness of Quantum Field Theories

Abstract: Tameness is a generalized notion of finiteness that is restricting the geometric complexity of sets and functions. The underlying mathematical foundation lies in tame geometry, which is built from o-minimal structures introduced in mathematical logic. In this talk I formalize the connection between quantum field theories and logical structures and argue that the tameness of a quantum field theory relies on its UV definition. I quantify our expectations on the tameness of effective theories that can be coupled to quantum gravity and on CFTs. In particular, I present tameness conjectures about CFT observables and propose universal constraints that render spaces of CFTs to be tame sets. I then highlight the relation of these conjectures to other swampland conjectures, e.g., by arguing that the tameness of CFT observables restricts having parametrical gaps in the operator spectrum.


April 24, 2023
11:00 am - 12:00 pm
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