F-Theory Duals of Nonperturbative Heterotic E8 × E8 Vacua in Six Dimensions
نویسندگان
چکیده
We present a systematic way of generating F-theory models dual to nonperturbative vacua (i.e., vacua with extra tensor multiplets) of heterotic E8×E8 strings compactified on K3, using hypersurfaces in toric varieties. In all cases, the Calabi-Yau is an elliptic fibration over a blow up of the Hirzebruch surface IFn. We find that in most cases the fan of the base of the elliptic fibration is visible in the dual polyhedron of the CalabiYau, and that the extra tensor multiplets are represented as points corresponding to the blow-ups of the IFn. [email protected] [email protected] [email protected]
منابع مشابه
On the Complementarity of F-theory, Orientifolds, and Heterotic Strings
We study F-theory duals of six dimensional heterotic vacua in extreme regions of moduli space where the heterotic string is very strongly coupled. We demonstrate how to use orientifold limits of these F-theory duals to regain a perturbative string description. As an example, we reproduce the spectrum of a T /ZZ4 orientifold as an F-theory vacuum with a singular K3 fibration. We relate this vacu...
متن کاملD = 6 , N = 1 String Vacua and Duality 1
We review the structure D = 6, N = 1 string vacua with emphasis on the different connections due to T -dualities and S-dualities. The topics discussed include: Anomaly cancellation; K3 and orbifold D = 6, N = 1 heterotic compactifications; T -dualities between E8 × E8 and Spin(32)/Z2 heterotic vacua; non-perturbative heterotic vacua and small instantons; N = 2 TypeII/Heterotic duality in D = 4 ...
متن کامل2 v 1 3 0 Se p 19 97 1 N = 1 Dual String Pairs and their Modular Superpotentials
We review the duality between heterotic and F–theory string vacua with N = 1 space-time supersymmetry in eight, six and four dimensions. In particular, we discuss two chains of four-dimensional F–theory/heterotic dual string pairs, where F–theory is compactified on certain elliptic Calabi-Yau fourfolds, and the dual heterotic vacua are given by compactifications on elliptic Calabi-Yau threefold...
متن کاملNonperturbative Superpotentials in String Theory
We describe a class of 4d N=1 compactifications of the SO(32) heterotic/type I string theory which are destabilized by nonperturbatively generated superpotentials. In the type I description, the destabilizing superpotential is generated by a one instanton effect or gaugino condensation in a nonperturbative SU(2) gauge group. The dual, heterotic description involves destabilization due to worlds...
متن کاملHeterotic M – Theory Vacua with Five – Branes ∗
We construct vacua of heterotic M–theory with general gauge bundles and five–branes. Some aspects of the resulting low–energy effective theories are discussed. M–theory on the orbifold S/Z2 is believed to describe the strong coupling limit of the E8 × E8 heterotic string [1] and, therefore, constitutes a particularly interesting starting point for M–theory particle phenomenology. At low energy,...
متن کامل