Seiberg-Witten Curve for the E-String Theory

Abstract

We construct the Seiberg-Witten curve for the E-string theory in six-dimensions. The curve is expressed in terms of affine E_8 characters up to level 6 and is determined by using the mirror-type transformation so that it reproduces the number of holomorphic curves in the Calabi-Yau manifold and the amplitudes of N=4 U(n) Yang-Mills theory on 1/2 K3. We also show that our curve flows to known five- and four-dimensional Seiberg-Witten curves in suitable limits.

18 pages, 1 figure; appendix C added

References in corpus (2)

• N=2 Superconformal Field Theory with ADE Global Symmetry on a D3-brane Probe
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$

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