Supergravity M5-branes wrapped on Riemann surfaces and their QFT duals

We find solutions of 11-dimensional supergravity for M5-branes wrapped on Riemann surfaces. These solutions preserve $\mathcal{N}=2$ four-dimensional supersymmetry. They are dual to $\mathcal{N}=2$ gauge theories, including non-conformal field theories. We work out the case of $\mathcal{N}=2$ Yang-Mills in detail.