On Moduli Spaces in $\mathbf{Ad}{\mathbf{S}}_4$ Supergravity

Abstract

We study the structure of the supersymmetric moduli spaces of $\mathcal{N}=1$ and $\mathcal{N}=2$ supergravity theories in $Ad{S}_4$ 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.

LaTeX, 1+24 pages, 1 figure

References in corpus (2)

• Symmetries and Strings in Field Theory and Gravity
• Supersymmetric Vacua in N=2 Supergravity

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