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DTSTART;TZID=America/New_York:20240214T160000
DTEND;TZID=America/New_York:20240214T173000
DTSTAMP:20260501T215955
CREATED:20240212T162016Z
LAST-MODIFIED:20240212T211844Z
UID:10002103-1707926400-1707931800@cmsa.fas.harvard.edu
SUMMARY:Quantum Algebra of Chern-Simons Matrix Model and Large N Limit
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) \nTitle: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit \nAbstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall effects. We establish the commutation relations for its generators and study the large N limit of its representation. We show that the large N limit algebra is isomorphic to the uniform in N algebra studied by Costello\, which is conjecturally isomorphic to the deformed double current algebra studied by Guay. Under appropriate scaling limit\, we show that the large N limit algebra degenerates to a Lie algebra which admits a surjective map to the affine Lie algebra of u(p). This leads to a complete proof of the large N emergence of the u(p) current algebra as proposed by Dorey\, Tong and Turner. This also suggests a rigorous derivation of edge excitation of a fractional quantum Hall droplet. This is a joint work with Si Li\, Dongheng Ye and Yehao Zhou (arXiv: 2308.14046).
URL:https://cmsa.fas.harvard.edu/event/qm-21424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter,Seminars
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.14.2024.png
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