F-theory and linear sigma models
arXiv:hep-th/9712023 · doi:10.1016/S0550-3213(98)00429-5
Abstract
We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investigate the 4-dimensional duality between (0,2) heterotic and F-theory compactifications. We indirectly find that much interesting heterotic information must be contained in the `spectral bundle' and in its dual description as a gauge theory on multiple F-theory 7-branes. A by-product of these efforts is a method for analyzing semistability and the splitting type of vector bundles over an elliptic curve given as the sheaf cohomology of a monad.
40 pages, no figures; minor cosmetic reorganization of section 4; reference [6] updated
References in corpus (4)
Cited by in corpus (12)
- Warped Compactifications in M and F Theory
- T-Branes and Geometry
- On Instanton Effects in F-theory
- Geometric constraints in dual F-theory and heterotic string compactifications
- Duality in Heterotic Vacua With Four Supercharges
- Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
- Ubiquity of non-geometry in heterotic compactifications
- Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
- Light Strings and Strong Coupling in F-theory
- Heterotic/Heterotic and Heterotic/F-theory Duality
- Extending the Geometry of Heterotic Spectral Cover Constructions
- Yukawa Textures From Singular Spectral Data