An N=2 Superconformal Fixed Point with E_6 Global Symmetry

Abstract

We obtain the elliptic curve corresponding to an $N=2$ superconformal field theory which has an $E_6$ global symmetry at the strong coupling point $\tau =e^{\pi i/3}$. We also find the Seiberg-Witten differential ${\lambda }_{SW}$ for this theory. This differential has 27 poles corresponding to the fundamental representation of $E_6$. The complex conjugate representation has its poles on the other sheet. We also show that the $E_6$ curve reduces to the $D_4$ curve of Seiberg and Witten. Finally, we compute the monodromies and use these to compute BPS masses in an $F$-Theory compactification.

12 pages, harvmac (b)

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• F-Theory at Constant Coupling
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