Noncompact gauging of N=2 7D supergravity and AdS/CFT holography

Abstract

Half-maximal gauged supergravity in seven dimensions coupled to $n$ vector multiplets contains $n+3$ vectors and $3n+1$ scalars parametrized by ${\mathbb{R}}^{+}\times SO(3,n)/SO(3)\times SO(n)$ coset manifold. The two-form field in the gravity multiplet can be dualized to a three-form field which admits a topological mass term. Possible non-compact gauge groups take the form of $G_0\times H\subset SO(3,n)$ with a compact group $H$. $G_0$ is one of the five possibilities; $SO(3,1)$, $SL(3,\mathbb{R})$, $SO(2,2)$, $SO(2,1)$ and $SO(2,2)\times SO(2,1)$. We investigate all of these possible non-compact gauge groups and classify their vacua. Unlike the gauged supergravity without a topological mass term, there are new supersymmetric $Ad{S}_7$ vacua in the $SO(3,1)$ and $SL(3,\mathbb{R})$ gaugings. These correspond to new $N=(1,0)$ superconformal field theories (SCFT) in six dimensions. Additionally, we find a class of $Ad{S}_5\times S^2$ and $Ad{S}_5\times H^2$ backgrounds with $SO(2)$ and $SO(2)\times SO(2)$ symmetries. These should correspond to $N=1$ SCFTs in four dimensions obtained from twisted compactifications of six-dimensional field theories on $S^2$ or $H^2$. We also study RG flows from six-dimensional $N=(1,0)$ SCFT to $N=1$ SCFT in four dimensions and RG flows from a four-dimensional $N=1$ SCFT to a six-dimensional SYM in the IR. The former are driven by a vacuum expectation value of a dimension-four operator dual to the supergravity dilaton while the latter are driven by vacuum expectation values of marginal operators.

arXiv comment24 pages, 2 figures, typos corrected and a reference added

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Cited by in corpus (6)

• Revisiting the classifications of 6d SCFTs and LSTs
• Supersymmetric $Ad{S}_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity
• Gaugings of four-dimensional N=3 supergravity and AdS4/CFT3 holography
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity
• Wrapped D4-branes from maximal 6D gauged supergravity