Corpus ID: 118290952

4d-5d connection and the holomorphic anomaly

  title={4d-5d connection and the holomorphic anomaly},
  author={P. Gao},
  journal={arXiv: High Energy Physics - Theory},
  • P. Gao
  • Published 2007
  • Physics
  • arXiv: High Energy Physics - Theory
  • In this short note, we report a curious appearance of the recently discovered 4d-5d connection of extremal blackholes in the topological string B-model. The holomorphic anomaly equations in the Schrodinger-Weil representation are written {\it formally} in terms of M2 charges. In the phase space the 4d-5d charges are related by a non-linear canonical transformation. The blackhole partition function factors into M2-anti-M2 contributions in leading approximation. 
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