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arXiv · 1509.05704

New supersymmetric index of heterotic compactifications with torsion

Dan Israel·Matthieu Sarkis
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Abstract

We compute the new supersymmetric index of a large class of N=2 heterotic compactifications with torsion, corresponding to principal two-torus bundles over warped K3 surfaces with H-flux. Starting from a UV description as a (0,2) gauged linear sigma-model with torsion, we use supersymmetric localization techniques to provide an explicit expression of the index as a sum over the Jeffrey-Kirwan residues of the one-loop determinant. We finally propose a geometrical formula that gives the new supersymmetric index in terms of bundle data, regardless of any particular choice of underlying two-dimensional theory.

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Dan Israel, Matthieu Sarkis. 2015-09-18. New supersymmetric index of heterotic compactifications with torsion. https://doi.org/10.1007/jhep12(2015)069

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