Abstract
We present the theory of an N=1 supersymmetric ghost condensate coupled to supergravity using a general formalism for constructing locally supersymmetric higher-derivative chiral superfield actions. The theory admits a ghost condensate vacuum in de Sitter spacetime. Expanded around this vacuum, the scalar sector is shown to be ghost-free with no spatial gradient instabilities. The fermion sector is found to consist of a massless chiral fermion and a massless gravitino. The ghost condensate vacuum spontaneously breaks local supersymmetry with the chiral field as the Goldstone fermion. Although potentially able to get a mass through the super-Higgs effect, the vanishing superpotential in the ghost condensate theory renders the gravitino massless.
Talk presented at “Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity”, INFN, Frascati, Italy, March 2013.
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Acknowledgments
B.A.O. would like to thank Stefano Bellucci for the invitation to the workshop “Breaking of Supersymmetry and Ultrtaviolet Divergences in Extended Supergravity” at the INFN in Frascati, Italy in March 2013, where the content of these proceedings were presented. B.A.O. is supported in part by the DOE under contract No. DE-AC02-76-ER-03071 and the NSF under grant No. 1001296. M.K. and J.L.L. acknowledge the support of the European Research Council via the Starting Grant No. 256994.
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Koehn, M., Lehners, JL., Ovrut, B. (2014). Ghost Condensation in \(N=1\) Supergravity. In: Bellucci, S. (eds) Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity. Springer Proceedings in Physics, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-319-03774-5_9
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