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Résumé |
We compute the new supersymmetric index of a large class of 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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