Superconformal fixed points with En global symmetry Original Research Article

We obtain the elliptic curve and the Seiberg-Witten differential for an N = 2 superconformal field theory which has an ES global symmetry at the strong coupling point π = eπi/3. The differential has 120 poles corresponding to half the charged states in the fundamental representation of E8, with the other half living on the other sheet. Using this theory, we flow down to E7, E6 and D4. A new feature is a λSW for these theories based on their adjoint representations. We argue that these theories have different physics than those with λSW built from the fundamental representations.