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DTSTART;TZID=America/New_York:20220913T093000
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UID:10002768-1663061400-1663066800@cmsa.fas.harvard.edu
SUMMARY:Non-invertible Symmetries in Nature
DESCRIPTION:Quantum Matter in Mathematics and Physics \n\nSpeaker: Yichul Cho (SUNY Stony Brook)\nTitle: Non-invertible Symmetries in Nature \nAbstract: In this talk\, I will discuss non-invertible symmetries in\nfamiliar 3+1d quantum field theories describing our Nature. In\nmassless QED\, the classical U(1) axial symmetry is not completely\nbroken by the ABJ anomaly. Instead\, it turns into a discrete\,\nnon-invertible symmetry. The non-invertible symmetry operator is\nobtained by dressing the naïve U(1) axial symmetry operator with a\nfractional quantum Hall state. We also find a similar non-invertible\nsymmetry in the massless limit of QCD\, which provides an alternative\nexplanation for the neutral pion decay. In the latter part of the\ntalk\, I will discuss non-invertible time-reversal symmetries in 3+1d\ngauge theories. In particular\, I will show that in free Maxwell\ntheory\, there exists a non-invertible time-reversal symmetry at every\nrational value of the theta angle. \nBased on https://arxiv.org/abs/2205.05086 and https://arxiv.org/abs/2208.04331. \n 
URL:https://cmsa.fas.harvard.edu/event/non-invertible-symmetries-in-nature/
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-09.13.22-1.png
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