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SUMMARY:Konstantin Eder (University of Erlangen–Nürnberg)
DTSTART:20221207T170000Z
DTEND:20221207T180000Z
DTSTAMP:20260423T024613Z
UID:TQFT/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/72/">Su
 per Cartan geometry and (loop) quantum supergravity</a>\nby Konstantin Ede
 r (University of Erlangen–Nürnberg) as part of Topological Quantum Fiel
 d Theory Club (IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd floor\, Mat
 hematics Department\, Instituto Superior Técnico).\n\nAbstract\nIn this t
 alk\, a mathematically rigorous approach toward geometric supergravity wil
 l be discussed which\, in the physical literature\, is usually known as th
 e Castellani-D'Auria-Fré approach. To this end\, using tools from superge
 ometry\, the notion of a super Cartan geometry will be introduced. Interes
 tingly\, in order to consistently incorporate the anticommutative nature o
 f fermionic fields\, the ordinary category of supermanifolds needs to be g
 eneralized in a physically consistent way leading to the notion of so-call
 ed enriched supermanifolds. We then apply this formalism to discuss a geom
 etric formulation of (generalized) pure Anti-de Sitter supergravity with N
 =1\,2 supersymmetry in D=4 modified by an additional Holst term. In this c
 ontext\, we will also talk about so-called picture changing operators (PCO
 ) and how they can be implemented in a mathematically rigorous way. Finall
 y\, an outlook will be given for applications of this formalism to (loop) 
 quantum supergravity and the description of quantum supersymmetric black h
 oles.\n
LOCATION:https://researchseminars.org/talk/TQFT/72/
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