New supersymmetric index of heterotic compactifications with torsion
arXiv:1509.05704 · doi:10.1007/JHEP12(2015)069
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.
53 pages. Version 2 to be published in JHEP: added proof of the geometrical formula for the quartic, few minor clarifications and typos corrected
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