  We study a class of N=1 quiver gauge theories build out of vector multiplets
and matter multiplets in the fundamental and bifundamental representations. We
argue that these theories flow to interacting SCFTs in the IR and calculate
their central charges. We exhibit a type IIA brane construction which at low
energies is described by these SCFTs. This also leads to a natural description
of the theories in terms of M5-branes on a punctured sphere.
