Holographic solutions from 5D S O ( 2 ) × I S O ( 3 ) N = 4 gauged supergravity

We study various types of holographic solutions from five-dimensional N = 4 gauged supergravity coupled to three vector multiplets with S O ( 2 ) × I S O ( 3 ) gauge group. This gauged supergravity can be obtained from the maximal gauged supergravity in seven dimensions on a Riemann surface. For a negatively curved Riemann surface H 2 , the resulting five-dimensional gauged supergravity admits a supersymmetric N = 4 AdS 5 critical point. This AdS 5 vacuum is dual to an N = 2 superconformal field theory (SCFT) arising from M5-branes wrapped on H 2 . We study holographic RG flows between this SCFT and N = 2 nonconformal phases by deformations involving relevant, marginal and irrelevant operators. Solutions describing conformal interfaces between these nonconformal phases and singular boundaries are also given. We finally study a number of supersymmetric AdS 5 black string and black hole solutions holographically dual to RG flows across dimensions from the N = 2 SCFT to two-dimensional SCFTs and superconformal quantum mechanics in the IR. A number of solutions describing black strings and black holes in asymptotically domain wall space-time are also found. All of the solutions can be uplifted to M-theory by a consistent truncation on H 2 × S 4 .