Gauged $\mathcal{N}=3,D=4$ Supergravity: a new web of marginally connected vacua
We analyze the vacuum structure of $\mathcal{N}=3,D=4$ supergravity coupled to 9 vector multiplets with gauge group ${\rm SO}(3)\times {\rm SU}(3)$. Aside from the central $\mathcal{N}=3$ AdS$_4$ vacuum at the origin, on which the supermultiplet structure reproduces the massless sector of M-theory c...
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Zusammenfassung: | We analyze the vacuum structure of $\mathcal{N}=3,D=4$ supergravity coupled
to 9 vector multiplets with gauge group ${\rm SO}(3)\times {\rm SU}(3)$. Aside
from the central $\mathcal{N}=3$ AdS$_4$ vacuum at the origin, on which the
supermultiplet structure reproduces the massless sector of M-theory
compactified on $\mathrm{N^{0,1,0}}$, we find a rich structure of AdS$_4$ vacua
preserving $\mathcal{N}=0,1,2,3$ supersymmetry. These new vacua are arranged in
a manifold spanned by scalar fields corresponding to exactly marginal
deformations of the dual CFT. This manifold has the form $T^3/K$, where $K$ is
a discrete subgroup of the gauge group: $\mathcal{N}=3,2$ and $1$ vacua
correspond, respectively, to a point, a line and a surface in the
three-dimensional vacuum manifold. We study RG flows from the central
$\mathcal{N}=3$ vacuum and elaborate on the possible higher dimensional origin
of the new vacua. For the reader's convenience we also provide a review of the
embedding tensor formulation of $D=4$, $\mathcal{N}=3$ gauged supergravities.
In particular we provide formulas involving the fermion shift tensors and mass
matrices in $\mathcal{N}=3$ theories, which can be applied to a generic
gauging. |
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DOI: | 10.48550/arxiv.2206.09971 |