# The non-compact elliptic genus: mock or modular

@article{Troost2010TheNE,
title={The non-compact elliptic genus: mock or modular},
author={Jan Troost},
journal={Journal of High Energy Physics},
year={2010},
volume={2010},
pages={1-18}
}
• J. Troost
• Published 21 April 2010
• Mathematics
• Journal of High Energy Physics
We analyze various perspectives on the elliptic genus of non-compact supersymmetric coset conformal field theories with central charge larger than three. We calculate the holomorphic part of the elliptic genus via a free field description of the model, and show that it agrees with algebraic expectations. The holomorphic part of the elliptic genus is directly related to an Appell-Lerch sum and behaves anomalously under modular transformations. We analyze the origin of the anomaly by calculating…
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