An elliptic triptych

Abstract : We clarify three aspects of non-compact elliptic genera. Firstly, we give a path integral derivation of the elliptic genus of the cigar conformal field theory from its non-linear sigma-model description. The result is a manifestly modular sum over a lattice. Secondly, we discuss supersymmetric quantum mechanics with a continuous spectrum. We regulate the theory and analyze the dependence on the temperature of the trace weighted by the fermion number. The dependence is dictated by the regulator. From a detailed analysis of the dependence on the infrared boundary conditions, we argue that in non-compact elliptic genera right-moving supersymmetry combined with modular covariance is anomalous. Thirdly, we further clarify the relation between the flat space elliptic genus and the infinite level limit of the cigar elliptic genus.
Type de document :
Article dans une revue
Journal of High Energy Physics, Springer, 2017, 2017 (10), pp.78. 〈〉. 〈10.1007/JHEP10(2017)078〉
Liste complète des métadonnées

Littérature citée [37 références]  Voir  Masquer  Télécharger
Contributeur : Gestionnaire Hal-Upmc <>
Soumis le : vendredi 27 octobre 2017 - 16:11:06
Dernière modification le : jeudi 11 janvier 2018 - 06:12:09


Publication financée par une institution


Distributed under a Creative Commons Paternité 4.0 International License




Jan Troost. An elliptic triptych. Journal of High Energy Physics, Springer, 2017, 2017 (10), pp.78. 〈〉. 〈10.1007/JHEP10(2017)078〉. 〈hal-01625342〉



Consultations de la notice


Téléchargements de fichiers