%0 Journal Article
%T N=2 Heterotic-Type II duality and bundle moduli
%+ Laboratoire Charles Coulomb (L2C)
%+ Fachbereich Physik [Hamburg]
%+ CERN [Genève]
%+ Laboratoire de Physique Théorique et Hautes Energies (LPTHE)
%+ Abdus Salam International Centre for Theoretical Physics [Trieste] (ICTP)
%A Alexandrov, Sergey
%A Louis, Jan
%A Pioline, Boris
%A Valandro, Roberto
%Z 20 pages
%< avec comité de lecture
%Z L2C:14-036
%@ 1126-6708
%J Journal of High Energy Physics
%I Springer
%N 08
%P 092
%8 2014-08-18
%D 2014
%Z 1405.4792
%R 10.1007/JHEP08(2014)092
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01006533/document
%2 https://hal.science/hal-01006533/file/Alexandrov2014_Article_N2Heterotic-typeIIDualityAndBu.pdf
%L hal-01006533
%U https://hal.science/hal-01006533
%~ UNIV-PARIS7
%~ UPMC
%~ CNRS
%~ LPTHE
%~ L2C
%~ UPMC_POLE_2
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ UNIV-PARIS
%~ SU-TI
%~ ALLIANCE-SU
%~ UM-2015-2021