Exceptional string: Instanton expansions and Seiberg-Witten curve

Oct, 2001
71 pages
Published in:
  • Rev.Math.Phys. 14 (2002) 913-975
e-Print:

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Abstract:
We investigate instanton expansions of partition functions of several toric E-string models using local mirror symmetry and elliptic modular forms. We also develop a method to obtain the Seiberg--Witten curve of E-string with arbitrary Wilson lines with the help of elliptic functions.
Note:
  • 71 pages, three Wilson lines
  • string model: exceptional
  • symmetry: mirror
  • instanton: expansion
  • partition function
  • anomaly: modular
  • differential forms
  • Seiberg-Witten map
  • Wilson loop
  • homology
  • torus
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