Seiberg-Witten prepotential for E-string theory and random partitions

• Sakai, Kazuhiro

Abstract

We find a Nekrasov-type expression for the Seiberg-Witten prepotential for the six-dimensional non-critical E_8 string theory toroidally compactified down to four dimensions. The prepotential represents the BPS partition function of the E_8 strings wound around one of the circles of the toroidal compactification with general winding numbers and momenta. We show that our expression exhibits expected modular properties. In particular, we prove that it obeys the modular anomaly equation known to be satisfied by the prepotential.

Journal

• Journal of High Energy Physics

  Journal of High Energy Physics 2012 (6), 027-, 2012-06-08

  Springer

Keywords

• Differential and Algebraic Geometry
• Topological Strings

Details

• CRID: 1050001335737429632
• NII Article ID: 120004873599
• NII Book ID: AA11380940
• ISSN: 11266708
• ISSN: 10298479
• DOI: 10.1007/jhep06(2012)027
• HANDLE: 2433/159939
• Web Site: http://link.springer.com/content/pdf/10.1007/JHEP06(2012)027.pdf
• Web Site: http://link.springer.com/article/10.1007/JHEP06(2012)027/fulltext.html
• Web Site: http://link.springer.com/content/pdf/10.1007/JHEP06(2012)027
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN