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arXiv · 1710.00554

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

Evgeny I. Buchbinder·Jessica Hutomo·Sergei M. Kuzenko·Gabriele Tartaglino-Mazzucchelli
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Abstract

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ 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 ${\cal N}=1$ or ${\cal N}=2$ spacetime supersymmetry. In addition to being $\kappa$-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 ${\cal N}=1$ and ${\cal N}=2$ supergravity theories to nilpotent Goldstino superfields.

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Evgeny I. Buchbinder, Jessica Hutomo, Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli. 2017-10-02. Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions. https://doi.org/10.1103/physrevd.96.126015

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