Gravity duals of 5D $N=2$ SYM theory from $F(4)$ gauged supergravity

We study gravity duals of the minimal $N=2$ super Yang-Mills gauge theories in five dimensions using the matter coupled $F(4)$ gauged supergravity in six dimensions. The $F(4)$ gauged supergravity coupled to $n$ vector multiplets contains $4n+1$ scalar fields, parametrized by ${\mathbb{R}}^{+}\times SO(4,n)/SO(4)\times SO(n)$ coset manifold. Maximally supersymmetric vacua of the gauged supergravity with $SU(2)\times G$ gauge group, with $G$ being an $n$-dimensional subgroup of $SO(n)$, correspond to five-dimensional superconformal field theories (SCFTs) with $SU(2{)}_R$ $R$ symmetry and $G$ global symmetry. Deformations of the UV SCFTs for $G=SU(2)$ and $G=U(2)\sim SU(2)\times U(1)$ symmetries that lead to nonconformal $N=2$ super Yang-Mills with various unbroken global symmetries are studied holographically.