Séminaire de Physique Théorique

Dressed elliptic genus of heterotic flux compactifications
Matthieu Sarkis (KIAS, Séoul)
Monday 19 February 2018 11:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
We define and compute the dressed elliptic genus 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 genus as a sum over the Jeffrey-Kirwan residues of the one-loop determinant. We then propose a geometrical formula that gives the dressed elliptic genus in terms of geometric data, regardless of any particular choice of underlying two-dimensional theory. I may also briefly discuss some application to the computation of the one-loop corrections to some BPS-saturated amplitudes, as well as the possible relationship with Mathieu Moonshine.

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