Corpus ID: 118290952

# 4d-5d connection and the holomorphic anomaly

@article{Gao20074d5dCA,
title={4d-5d connection and the holomorphic anomaly},
author={P. Gao},
journal={arXiv: High Energy Physics - Theory},
year={2007}
}
• 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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