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arXiv · 1505.01387

Anti-self-dual gravity and supergravity from a pure connection formulation

J. E. Rosales-Quintero
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Abstract

We introduce a complex pure connection action with constraints which is diffeomorphism and gauge invariant. Taking as an internal group $SU(2)$, we obtain, from the equations of motion, anti-self-dual Einstein spaces together with the zero torsion condition thanks to Bianchi identity. By applying the same procedure, we take as internal symmetry the super group $OSp(1|2)$ and by means of the Bianchi identity and integrability conditions, the equations of motion are those that come from anti-self-dual supergravity $N=1$ with cosmological constant sector.

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J. E. Rosales-Quintero. 2015-05-06. Anti-self-dual gravity and supergravity from a pure connection formulation. https://doi.org/10.1142/s0217751x16500640

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