Supersymmetric AdS 5 black holes and strings from 5D N= 4 gauged supergravity

Abstract

We study supersymmetric AdS 3 × Σ 2 and AdS 2 × Σ 3 solutions, with Σ 2 = S 2 , H 2 and Σ 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) × SU(2) × SU(2) , U(1) × SO(3 , 1) and U(1) × SL(3 , R). For U(1) × SU(2) × SU(2) gauge group admitting two supersymmetric N= 4 AdS 5 vacua, we identify a new class of AdS 3 × Σ 2 and AdS 2 × H 3 solutions preserving four supercharges. Holographic RG flows describing twisted compactifications of N= 2 four-dimensional SCFTs dual to the AdS 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 AdS 5 spaces with near horizon geometries given by AdS 3 × Σ 2 and AdS 2 × H 3 , respectively. These solutions broaden previously known black brane solutions including half-supersymmetric AdS 5 black strings recently found in N= 4 gauged supergravity. Similar solutions are also studied in non-compact gauge groups U(1) × SO(3 , 1) and U(1) × SL(3 , R). © 2019, The Author(s).