1997/01/31 by Michael Bershadsky, Andrei Johansen, Andrey Johansen +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00393-3
published as Nucl.Phys. B505 (1997) 165-201 · 40 pages, TeX, references added, minor changes in Section 3
arxiv created 1997/03/11 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 CY3. The full moduli space has a web structure which is also found in the moduli space of semi-stable bundles on CY3. Matter content of the four-dimensional theory is discussed in both F-theory and heterotic theory descriptions.