Abstract
We study the structure of the supersymmetric moduli spaces of \( \mathcal{N} \) = 1 and \( \mathcal{N} \) = 2 supergravity theories in AdS 4 backgrounds. In the \( \mathcal{N} \) = 1 case, the moduli space cannot be a complex submanifold of the Kähler field space, but is instead real with respect to the inherited complex structure. In \( \mathcal{N} \) = 2 supergravity the same result holds for the vector multiplet moduli space, while the hypermultiplet moduli space is a Kähler submanifold of the quaternionic-Kähler field space. These findings are in agreement with AdS/CFT considerations.
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ArXiv ePrint: 1312.5659
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de Alwis, S., Louis, J., McAllister, L. et al. Moduli spaces in AdS 4 supergravity. J. High Energ. Phys. 2014, 102 (2014). https://doi.org/10.1007/JHEP05(2014)102
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DOI: https://doi.org/10.1007/JHEP05(2014)102