Semiclassics for U(1) charged CFT: a brief review |
Alexander Monin, University of South Carolina |
Event Type: Informal HEP Talk |
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Time: 4:00 PM - 5:00 PM |
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Location: 726 Broadway, 940, CCPP Seminar |
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Abstract: It is generally expected that states with large quantum numbers can be described semiclassically. In the context of CFT with additional $U(1)$ symmetry these methods allow to find the spectrum of large charge primary operators in a class of models. I will explain the methodology with an example of a scalar theory at Wilson Fisher fixed point in $d=3-epsilon$ dimensions and show how CFT data (scaling dimensions and fusion coefficients) can be obtained systematically as the inverse charge power series. I will also present a construction allowing to identify all spinning primary operators with number of derivatives bounded by the charge in a free 3d scalar theory. |