BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ryan Thorngren (Harvard CMSA) DTSTART:20201019T183000Z DTEND:20201019T193000Z DTSTAMP:20260423T041342Z UID:Kadanoff/14 DESCRIPTION:Title: 't Hooft Anomalies of Fermi Liquids and Luttinger's Theorem\nby Ryan Thorngren (Harvard CMSA) as part of Kadanoff seminars\n\n\nAbstract\nLatt ice systems with translation symmetry and U(1) charge conservation have a filling fraction\, defined as the charge per unit cell. In this talk I wil l explain how the filling fraction is captured by anomalous emergent symme tries in the continuum limit of such systems. This anomaly matching is a g eneralization of Luttinger's theorem for Fermi liquids\, which says that t he filling fraction equals the volume enclosed by the Fermi surface. Lutti nger's theorem is obtained by analyzing an anomalous loop-group symmetry o f the Fermi liquid\, which generalizes the chiral anomaly of a Luttinger l iquid in 1+1d. I will argue more generally that systems at irrational fill ing cannot have continuum limits with compact symmetry groups.\n LOCATION:https://researchseminars.org/talk/Kadanoff/14/ END:VEVENT END:VCALENDAR