Seiberg-Witten curve for the E string theory

Mar, 2002
17 pages
Published in:
  • JHEP 05 (2002) 058
e-Print:
Report number:
  • UT-975

Citations per year

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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.
  • string model
  • dimension: 6
  • Seiberg-Witten model
  • instanton: expansion
  • current algebra: E(8)
  • prepotential
  • gauge field theory: U(N)
  • symmetry: mirror