Superconformal fixed points with \(E_n\) global symmetry

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Abstract: We obtain the elliptic curve and the Seiberg-Witten differential for an

N = 2

superconformal field theory which has an

E_{8}

global symmetry at the strong coupling point

a u = e^{p i i / 3}

. The differential has 120 poles corresponding to half the charged states in the fundamental representation of

E_{8}

, with the other half living on the other sheet. Using this theory, we flow down to

E_{7}

,

E_{6}

and

D_{4}

. A new feature is a

l a m b d a_{S W}

for these theories based on their adjoint representations. We argue that these theories have different physics than those with

l a m b d a_{S W}

built from the fundamental representations.

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