Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-28
J.Phys. A38 (2005) 1371-1384
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, latex. Based on invited talks presented at the IX-th Workshop on Mathematical Physics and Applications, Rabat, 23-25
Scientific paper
10.1088/0305-4470/38/6/013
We reconsider the study of the geometric transitions and brane/flux dualities in various dimensions. We first give toric interpretations of the topology changing transitions in the Calabi-Yau conifold and the $Spin(7)$ manifold. The latter, for instance, can be viewed as three intersecting Calabi-Yau conifolds according to $\cp^2$ toric graph. Orbifolds of such geometries are given in terms of del Pezzo complex surfaces. Second we propose a four-dimensional F-theory interpretation of type IIB geometric transitions on the Calabi-Yau conifold. This gives a dual description of the M-theory flop in terms of toric mirror symmetry. In two dimensions, we study the geometric transition in a singular $Spin(7)$ manifold constructed as a cone on SU(3)/U(1). In particular, we discuss brane/flux duality in such a compactification in both type IIA and type IIB superstrings. These examples preserve one supercharge and so have ${\cal N}= 1/2$ supersymmetry in two dimensions. Then, an interpretation in terms of F-theory is given.
No associations
LandOfFree
On Geometric Transitions in String Compactifications 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 On Geometric Transitions in String Compactifications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Geometric Transitions in String Compactifications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-385639