Gauging discrete symmetries of T_N-theories in five dimensions

We study the gauging of a discrete ℤ₃ symmetry in the five-dimensional superconformal T_N theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either E₆× SU(N) or SU(3) × SU(N) global symmetry group. In the M-theory realisation of T_N theories as residing at the origin in the Calabi-Yau orbifolds ℂ3ℤN×ℤN we identify the ℤ₃ symmetry geometrically and the new theories arise from M-theory on the non-Abelian orbifolds (ℂ3ℤN×ℤN)/ℤ3. On the other hand, in the (p, q) 5-brane web description in Type IIB theory, the symmetry combines the U-duality symmetry with a rotation in space, defining a so-called U-fold background, where the E₆ symmetry is manifest.