English

4d-5d connection and the holomorphic anomaly

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0701027,
  title  = {4d-5d connection and the holomorphic anomaly},
  author = {Peng Gao},
  journal= {arXiv preprint arXiv:hep-th/0701027},
  year   = {2007}
}

Comments

8 pages, no figures

R2 v1 2026-07-22T15:40:13.588Z