F-theory and linear sigma models
| Autor: | T. M. Chiang, Michael Bershadsky, A. Johansen, Brian R. Greene, Calin Iuliu Lazaroiu |
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| Rok vydání: | 1998 |
| Předmět: |
High Energy Physics - Theory
Physics Sheaf cohomology Heterotic string theory Nuclear and High Energy Physics Pure mathematics Compactification (physics) Sigma model FOS: Physical sciences Vector bundle F-theory Mathematics - Algebraic Geometry Elliptic curve Mathematics::Algebraic Geometry High Energy Physics - Theory (hep-th) FOS: Mathematics Gauge theory Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry |
| Zdroj: | Nuclear Physics B. 527:531-570 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/s0550-3213(98)00429-5 |
| Popis: | 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. Comment: 40 pages, no figures; minor cosmetic reorganization of section 4; reference [6] updated |
| Databáze: | OpenAIRE |
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