Tate's algorithm and F-theory

Details Tate's algorithm and F-theory Tate's algorithm and F-theory

2011-06-20

arxiv.org/abs/1106.3854v1

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

The "Tate forms" for elliptically fibered Calabi-Yau manifolds are reconsidered in order to determine their general validity. We point out that there were some implicit assumptions made in the original derivation of these "Tate forms" from the Tate algorithm. By a careful analysis of the Tate algorithm itself, we deduce that the "Tate forms" (without any futher divisiblity assumptions) do not hold in some instances and have to be replaced by a new type of ansatz. Furthermore, we give examples in which the existence of a "Tate form" can be globally obstructed, i.e., the change of coordinates does not extend globally to sections of the entire base of the elliptic fibration. These results have implications both for model-building and for the exploration of the landscape of F-theory vacua.

Affiliated with

Also associated with

No associations

Rating

Tate's algorithm 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 Tate's algorithm and F-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tate's algorithm and F-theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254863