The non-compact elliptic genus: mock or modular

  title={The non-compact elliptic genus: mock or modular},
  author={Jan Troost},
  journal={Journal of High Energy Physics},
  • 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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