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DTSTART;TZID=America/New_York:20230424T110000
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SUMMARY:The Tameness of Quantum Field Theories 
DESCRIPTION:Swampland Seminar \nSpeaker: Thomas Grimm (Utrecht U.)\n\nTitle: The Tameness of Quantum Field Theories \nAbstract: 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.
URL:https://cmsa.fas.harvard.edu/event/swampland_42423/
LOCATION:Jefferson 368
CATEGORIES:Swampland Seminar
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