F-theory and linear sigma models

Details F-theory and linear sigma models F-theory and linear sigma models

1997-12-02

arxiv.org/abs/hep-th/9712023v2

Nucl.Phys. B527 (1998) 531-570

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, no figures; minor cosmetic reorganization of section 4; reference [6] updated

Scientific paper

10.1016/S0550-3213(98)00429-5

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.

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