Seiberg-Witten Curve for E-String Theory

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概要

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• 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 1/2K_3. We also show that our curve flows to known five- and four-dimensional Seiberg-Witten curves in suitable limits. We further find new type of reduction to some particular four-dimensional theories such as the SU (2) Seiberg-Witten theory with 4 flavors, without taking a degenerate limit of T^2 so that the SL (2, Z) symmetry is left intact.

• 理論物理学刊行会の論文
• 2003-12-05

著者

• Eguchi T

  Department Of Physics Faculty Of Science University Of Tokyo

• Eguchi Tohru

  Department Of Physics University Of Tokyo

• Sakai Kazuhiro

  Department Of Physics Faculty Of Science University Of Tokyo

• EGUCHI Tohru

  Department of Physics, Faculty of Science, University of Tokyo

• Sakai Kazuhiro

  Department of Molecular Chemistry and Engineering, Faculty of Engineering, Tohoku University

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