Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions

We develop off-shell formulations for N=1 and N=2 anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow consistent couplings of supergravity to the Green-Schwarz superstring with N=1 or N=2...

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Bibliographic Details
Published in:Physical review. D 2017-12, Vol.96 (12), Article 126015
Main Authors: Buchbinder, Evgeny I., Hutomo, Jessica, Kuzenko, Sergei M., Tartaglino-Mazzucchelli, Gabriele
Format: Article
Language:English
Subjects:
Couplings
Formulations
Spacetime
Supergravity
Supersymmetry
Three dimensional models
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Summary:We develop off-shell formulations for N=1 and N=2 anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow consistent couplings of supergravity to the Green-Schwarz superstring with N=1 or N=2 spacetime supersymmetry. In addition to being κ-symmetric, the Green-Schwarz superstring actions constructed are also invariant under super-Weyl transformations of the target space. We also present a detailed study of models for spontaneously broken local supersymmetry in three dimensions obtained by coupling the known off-shell N=1 and N=2 supergravity theories to nilpotent Goldstino superfields.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.96.126015