On the Quantization of Special K\"ahler Manifolds
High Energy Physics - Theory
2013-05-22 v1 Mathematical Physics
math.MP
Abstract
We show how affine and projective special K\"ahler manifolds emerge from the structure of quantization. We quantize them and construct natural (wavefunction) representations for the corresponding coherent states. These in turn are shown to satisfy the precise generalizations of the BCOV holomorphic anomaly equation (hep-th/9309140), thus extending the work in hep-th/9306122. As a byproduct of the analysis we construct the explicit general solution to the holomorphic anomaly equation.
Keywords
Cite
@article{arxiv.1305.4838,
title = {On the Quantization of Special K\"ahler Manifolds},
author = {Michael M. Kay},
journal= {arXiv preprint arXiv:1305.4838},
year = {2013}
}
Comments
52 pages