BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ömer Mert Aksoy (MIT) DTSTART:20250806T130000Z DTEND:20250806T140000Z DTSTAMP:20260423T040335Z UID:QTFMS/12 DESCRIPTION:Title: S pacetime symmetry-enriched SymTFT: LSM anomalies\, modulated symmetries an d beyond\nby Ömer Mert Aksoy (MIT) as part of Quantum Theories of Fie lds\, Matter\, and Strings\n\n\nAbstract\nSymmetry Topological Field Theor y (SymTFT) is a framework that allows one to capture certain universal pro perties of gapped and gapless phases of matter with a symmetry from the pe rspective of topological field theory in one-higher dimension. This approa ch has been very fruitful in understanding gapped and gapless phases with internal generalized symmetries\, their anomalies and dualities between th em. In this talk\, I will describe one approach to extend the SymTFT frame work to incorporate spacetime symmetries. Concretely\, I will show that a topological order that is enriched by spacetime symmetries can act as a Sy mTFT that encodes the interplay between the spacetime and internal symmetr ies. I will provide concrete examples focusing on symmetries in 1+1D: latt ice translations\, spatial reflections\, and time reversal. For lattice tr anslations\, the interplay with internal symmetries is encoded in the SymT FT by translations permuting anyons\, which causes the continuum descripti on of the SymTFT to be a foliated field theory. I will show how this const ruction reveals the relation between Lieb-Schultz-Mattis (LSM) anomalies a nd modulated symmetries\, and classify modulated symmetry-protected topolo gical (SPT) phases. For reflection and time-reversal symmetries\, the inte rplay can additionally be encoded by symmetry fractionalization data in th e SymTFT\, which I will use to identify mixed anomalies and study gauging for such examples.\n LOCATION:https://researchseminars.org/talk/QTFMS/12/ END:VEVENT END:VCALENDAR