On Four-Dimensional Compactifications of F-Theory

Details On Four-Dimensional Compactifications of F-Theory On Four-Dimensional Compactifications of F-Theory

1997-01-29

arxiv.org/abs/hep-th/9701165v2

Nucl.Phys. B505 (1997) 165-201

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, TeX, references added, minor changes in Section 3

Scientific paper

10.1016/S0550-3213(97)00393-3

Branches of moduli space of F-theory in four dimensions are investigated. The transition between two branches is described as a 3-brane-instanton transition on a 7-brane. A dual heterotic picture of the transition is presented and the F-theory - heterotic theory map is given. The F-theory data - complex structure of the Calabi-Yau fourfold and the instanton bundle on the 7-brane is mapped to the heterotic bundle on the elliptic Calabi-Yau threefold CY_3. The full moduli space has a web structure which is also found in the moduli space of semi-stable bundles on $CY_3$. Matter content of the four-dimensional theory is discussed in both F-theory and heterotic theory descriptions.

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