Abstract
We consider tensor products of N = 2 minimal models and non-compact conformal field theories with N = 2 superconformal symmetry, and their orbifolds. The elliptic genera of these models give rise to a large and interesting class of real Jacobi forms. The tensor product of conformal field theories leads to a natural product on the space of completed mock modular forms. We exhibit families of non-compact mirror pairs of orbifold models with c = 9 and show explicitly the equality of elliptic genera, including contributions from the long multiplet sector. The Liouville and cigar deformed elliptic genera transform into each other under the mirror transformation.
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ArXiv ePrint: 1204.3802
Unité Mixte du CNRS et de l’Ecole Normale Supérieure associée à l’université Pierre et Marie Curie 6, UMR 8549.
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Ashok, S.K., Troost, J. Elliptic genera of non-compact Gepner models and mirror symmetry. J. High Energ. Phys. 2012, 5 (2012). https://doi.org/10.1007/JHEP07(2012)005
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DOI: https://doi.org/10.1007/JHEP07(2012)005