New supersymmetric index of heterotic compactifications with torsion

作者：Israel Dan^*; Sarkis Matthieu

来源：The Journal of High Energy Physics, 2015, 2015(12): 1-43.

DOI：10.1007/JHEP12(2015)069

• Superstrings and Heterotic Strings
• Flux compactifications
• Differential and Algebraic Geometry

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.

• 出版日期2015-12-14