Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-01
Adv.Theor.Math.Phys. 4 (2000) 95-126
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 6 figures, LaTeX2e; revised version corrects the matter spectrum in one case, adds references, and makes other minor
Scientific paper
The F-theory vacuum constructed from an elliptic Calabi-Yau threefold with section yields an effective six-dimensional theory. The Lie algebra of the gauge sector of this theory and its representation on the space of massless hypermultiplets are shown to be determined by the intersection theory of the homology of the Calabi-Yau threefold. (Similar statements hold for M-theory and the type IIA string compactified on the threefold, where there is also a dependence on the expectation values of the Ramond-Ramond fields.) We describe general rules for computing the hypermultiplet spectrum of any F-theory vacuum, including vacua with non-simply-laced gauge groups. The case of monodromy acting on a curve of A_even singularities is shown to be particularly interesting and leads to some unexpected rules for how 2-branes are allowed to wrap certain 2-cycles. We also review the peculiar numerical predictions for the geometry of elliptic Calabi-Yau threefolds with section which arise from anomaly cancellation in six dimensions.
Aspinwall Paul S.
Katz Sheldon
Morrison David R.
No associations
LandOfFree
Lie Groups, Calabi-Yau Threefolds, and F-Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lie Groups, Calabi-Yau Threefolds, and F-Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie Groups, Calabi-Yau Threefolds, and F-Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-185793