Bridging the gap between lattice models and TQFTs

Medientyp: E-Book; Video
Titel: Bridging the gap between lattice models and TQFTs
Beteiligte: Levin, Michael [Verfasser:in]; Schulz-Baldes, Hermann (Organization) [Sonstige Person, Familie und Körperschaft]; Prodan, Emil (Organization) [Sonstige Person, Familie und Körperschaft]; Villegas-Blas, Carlos (Organization) [Sonstige Person, Familie und Körperschaft]
Erschienen: [Erscheinungsort nicht ermittelbar]: Banff International Research Station (BIRS) for Mathematical Innovation and Discovery, 2019
Erschienen in: Topological Phases of Interacting Quantum Systems (19w5034) ; (Jan. 2019)
Umfang: 1 Online-Ressource (269 MB, 01:06:05:07)
Sprache: Englisch
DOI: 10.5446/56093
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Entstehung:
Anmerkungen: Audiovisuelles Material
Beschreibung: Every (2+1) dimensional quantum many-body system with an energy gap is believed to be described by a topological quantum field theory (TQFT) in the low energy limit. What this means concretely is that every many-body system of this kind is associated with a collection of universal topological data. Some of this data, however, is missing a precise definition that would allow for its computation from a microscopic Hamiltonian. In this talk, I will address this issue by giving a microscopic definition of the “F-symbol” --- one of the most poorly understood pieces of data that characterize TQFTs. I will also discuss applications of this definition to the computation of anomalies at the boundaries of (2+1) dimensional symmetry-protected topological phases
Zugangsstatus: Freier Zugang
Rechte-/Nutzungshinweise: Namensnennung - Nicht kommerziell (CC BY-NC)

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