An N = 2 superconformal fixed point with E6 global symmetry Original Research Article

We obtain the elliptic curve corresponding to an N = 2 superconformal field theory which has an E6 global symmetry at the strong coupling point τ = eπi/3. We also find the Seiberg-Witten differential λsw for this theory. This differential has 27 poles corresponding to the fundamental representation of E6. The complex conjugate representation has its poles on the other sheet. We also show that the E6 curve reduces to the D4 curve of Seiberg and Witten. Finally, we compute the monodromies and use these to compute BPS masses in an F-theory compactification.