Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity

Abstract

We study supersymmetric $Ad{S}_3\times {\Sigma }_2$ and $Ad{S}_2\times {\Sigma }_3$ solutions, with ${\Sigma }_2=S^2,H^2$ and ${\Sigma }_3=S^3,H^3$, in five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets. The gauge groups considered here are $U(1)\times SU(2)\times SU(2)$, $U(1)\times SO(3,1)$ and $U(1)\times SL(3,\mathbb{R})$. For $U(1)\times SU(2)\times SU(2)$ gauge group admiting two supersymmetric $N=4$ $Ad{S}_5$ vacua, we identify a new class of $Ad{S}_3\times {\Sigma }_2$ and $Ad{S}_2\times H^3$ solutions preserving four supercharges. Holographic RG flows describing twisted compactifications of $N=2$ four-dimensional SCFTs dual to the $Ad{S}_5$ vacua to the SCFTs in two and one dimensions dual to these geometries are numerically given. The solutions can also be interpreted as supersymmetric black strings and black holes in asymptotically $Ad{S}_5$ spaces with near horizon geometries given by $Ad{S}_3\times {\Sigma }_2$ and $Ad{S}_2\times H^3$, respectively. These solutions broaden previously known black brane solutions including half-supersymmetric $Ad{S}_5$ black strings recently found in $N=4$ gauged supergravity. Similar solutions are also studied in non-compact gauge groups $U(1)\times SO(3,1)$ and $U(1)\times SL(3,\mathbb{R})$.

arXiv comment35 pages, 12 figures, substantial extension of the results in arXiv:1811.01608, typos corrected, references added

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• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Holographic Surface Defects in $D=5$, $N=4$ Gauged Supergravity
• Twisted compactifications of 6D field theories from maximal 7D gauged supergravity
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
• AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity
• New supersymmetric $Ad{S}_5$ black strings from 5D $N=4$ gauged supergravity
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• $d{S}_4$ vacua from matter-coupled 4D N=4 gauged supergravity
• $d{S}_5$ vacua from matter-coupled 5D N=4 gauged supergravity
• Wrapped D4-branes from maximal 6D gauged supergravity
• Cosmological solutions from 4D $N=4$ matter-coupled supergravity
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity