N=2 Heterotic-Type II duality and bundle moduli Auteur(s): Alexandrov S., Louis Jan, Pioline Boris, Valandro Roberto (Article) Publié: Journal Of High Energy Physics, vol. p.092 (2014) Texte intégral en Openaccess : Ref HAL: hal-01006533_v1 Ref Arxiv: 1405.4792 DOI: 10.1007/JHEP08(2014)092 WoS: 000340505800005 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 6 Citations Résumé: Heterotic string compactifications on a $K3$ surface $\mathfrak{S}$ depend on a choice of hyperkähler metric, anti-self-dual gauge connection and Kalb-Ramond flux, parametrized by hypermultiplet scalars. The metric on hypermultiplet moduli space is in principle computable within the $(0,2)$ superconformal field theory on the heterotic string worldsheet, although little is known about it in practice. Using duality with type II strings compactified on a Calabi-Yau threefold, we predict the form of the quaternion-Kähler metric on hypermultiplet moduli space when $\mathfrak{S}$ is elliptically fibered, in the limit of a large fiber and even larger base. The result is in general agreement with expectations from Kaluza-Klein reduction, in particular the metric has a two-stage fibration structure, where the $B$-field moduli are fibered over bundle and metric moduli, while bundle moduli are themselves fibered over metric moduli. A more precise match must await a detailed analysis of $R^2$-corrected ten-dimensional supergravity. Commentaires: 20 pages |