3d SUSY Gauge Theory and Quantum Groups at Roots of Unity

Medientyp: E-Book; Video
Titel: 3d SUSY Gauge Theory and Quantum Groups at Roots of Unity
Beteiligte: Dimofte, Tudor [Verfasser:in]; Negut, Andrei (Organization) [Sonstige Person, Familie und Körperschaft]; Sala, Francesco (Organization) [Sonstige Person, Familie und Körperschaft]; Schiffmann, Olivier (Organization) [Sonstige Person, Familie und Körperschaft]
Erschienen: [Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2021
Erschienen in: Summer School 2021: Enumerative Geometry, Physics and Representation Theory ; (Jan. 2021)
Umfang: 1 Online-Ressource (159 MB, 01:16:23:11)
Sprache: Englisch
DOI: 10.5446/55054
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Anmerkungen: Audiovisuelles Material
Beschreibung: Topological twists of 3d N=4 gauge theories naturally give rise to non-semisimple 3d TQFT's. In mathematics, prototypical examples of the latter were constructed in the 90's (by Lyubashenko and others) from representation categories of small quantum groups at roots of unity; they were recently generalized in work of Costantino-Geer-Patureau Mirand and collaborators. I will introduce a family of physical 3d quantum field theories that (conjecturally) reproduce these classic non-semisimple TQFT's. The physical theories combine Chern-Simons-like and 3d N=4-like sectors. They are also related to Feigin-Tipunin vertex algebras, much the same way that Chern-Simons theory is related to WZW vertex algebras. (Based on work with T. Creutzig, N. Garner, and N. Geer.)
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