# 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} }

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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