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UID:10001173-1701448200-1701451800@cmsa.fas.harvard.edu
SUMMARY:A Plane Defect in the 3d O(N) Model
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Abijith Krishnan (MIT) \nTitle: A Plane Defect in the 3d O(N) Model \nAbstract: It was recently found that the classical 3d O(N) model in the semi-infinite geometry can exhibit an “extraordinary-log” boundary universality class\, where the spin-spin correlation function on the boundary falls off as (log x)^(-q). This universality class exists for a range 2≤N<Nc and Monte-Carlo simulations and conformal bootstrap indicate Nc>3. In this talk\, I’ll extend this result to the 3d O(N) model in an infinite geometry with a plane defect. I’ll explain using the renormalization group (RG) that the extraordinary-log universality class is present for any finite N≥2\, and that a line of defect fixed points is present at N=∞. This line of defect fixed points is lifted to the ordinary\, special (no defect) and extraordinary-log universality classes by 1/N corrections. I’ll show that the line of defect fixed points and the 1/N corrections agree with an a-theorem by Jensen and O’Bannon for 3d CFTs with a boundary. Finally\, I’ll conclude by noting some physical systems where the extraordinary-log universality class can be observed. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_33123/
LOCATION:Hybrid
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Topological-Seminar-12.01.23.png
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