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SUMMARY:Javier Magan - A new look at completeness and generalized symmetri
es
DTSTART;VALUE=DATE-TIME:20220125T130000Z
DTEND;VALUE=DATE-TIME:20220125T150000Z
DTSTAMP;VALUE=DATE-TIME:20220524T182048Z
UID:indico-event-1104119@indico.cern.ch
DESCRIPTION:We describe a general principle of completeness in QFT. It ass
erts that the physical observable algebras produced by local degrees of fr
eedom are the maximal ones compatible with causality. We elaborate on equi
valent statements to this principle such as the non-existence of generaliz
ed symmetries and the uniqueness of the net of algebras. For non-complete
theories\, we explain how the existence of generalized symmetries is unavo
idable\, and further\, that they always come in dual pairs with precisely
the same "size"\, measured by the Jones or algebraic index. Entropic order
/disorder parameters can be defined that sense the dual pairs of generaliz
ed symmetries and satisfy a relation dubbed the certainty principle\, due
to its connection with the uncertainty principle in quantum mechanics. Usi
ng this new understanding we prove a recent conjecture by Harlow and Oogur
i concerning a universal formula for the charged density of states in QFT\
, comment on relations with the Weinberg-Witten theorem\, and argue agains
t the existence of generalized symmetries in the bulk of holographic theor
ies.\n\nhttps://indico.cern.ch/event/1104119/
LOCATION:CERN zoom
URL:https://indico.cern.ch/event/1104119/
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