4d-5d connection and the holomorphic anomaly

Peng Gao

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arXiv · hep-th/0701027

4d-5d connection and the holomorphic anomaly

Peng Gao

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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.

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Peng Gao. 2007-01-03. 4d-5d connection and the holomorphic anomaly. https://arxiv.org/abs/hep-th/0701027

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