Chern-Simons supergravity on supergroup manifolds

A bstract We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the Chern- Simons theory and the off-shell worldvolume s...

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Bibliographic Details
Published in:The journal of high energy physics 2020-05, Vol.2020 (5), p.1-21, Article 110
Main Authors: Castellani, L., Cremonini, C.A., Grassi, P.A.
Format: Article
Language:English
Subjects:
Chern-Simons Theories
Classical and Quantum Gravitation
Elementary Particles
Field theory (physics)
High energy physics
Manifolds
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supergravity
Superspaces
Supersymmetry
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Summary:A bstract We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the Chern- Simons theory and the off-shell worldvolume supersymmetry transformations of the group manifold action. We formulate the Achucarro-Townsend model in a double supersymmetric action where the Chern-Simons theory with a supergroup gauge symmetry is constructed on a supergroup manifold. This framework is useful to establish a correspondence of degrees of freedom and auxiliary fields between the two descriptions of d=3 supergravity.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2020)110