Supersymmetric $$AdS_5$$ AdS5 black holes and strings from 5D $$N=4$$ N=4 gauged supergravity

Abstract

Abstract We study supersymmetric $$AdS_3\times \Sigma _2$$ AdS3×Σ2 and $$AdS_2\times \Sigma _3$$ AdS2×Σ3 solutions, with $$\Sigma _2=S^2,H^2$$ Σ2=S2,H2 and $$\Sigma _3=S^3,H^3$$ Σ3=S3,H3 , in five-dimensional $$N=4$$ 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)×SU(2)×SU(2) , $$U(1)\times SO(3,1)$$ U(1)×SO(3,1) and $$U(1)\times SL(3,\mathbb {R})$$ U(1)×SL(3,R) . For $$U(1)\times SU(2)\times SU(2)$$ U(1)×SU(2)×SU(2) gauge group admitting two supersymmetric $$N=4$$ N=4 $$AdS_5$$ AdS5 vacua, we identify a new class of $$AdS_3\times \Sigma _2$$ AdS3×Σ2 and $$AdS_2\times H^3$$ AdS2×H3 solutions preserving four supercharges. Holographic RG flows describing twisted compactifications of $$N=2$$ N=2 four-dimensional SCFTs dual to the $$AdS_5$$ AdS5 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 $$AdS_5$$ AdS5 spaces with near horizon geometries given by $$AdS_3\times \Sigma _2$$ AdS3×Σ2 and $$AdS_2\times H^3$$ AdS2×H3 , respectively. These solutions broaden previously known black brane solutions including half-supersymmetric $$AdS_5$$ AdS5 black strings recently found in $$N=4$$ N=4 gauged supergravity. Similar solutions are also studied in non-compact gauge groups $$U(1)\times SO(3,1)$$ U(1)×SO(3,1) and $$U(1)\times SL(3,\mathbb {R})$$ U(1)×SL(3,R) .