Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications

Details Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications

2000-12-15

arxiv.org/abs/hep-th/0012131v2

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 6 figures, Latex

Scientific paper

We study the geometric engineering of supersymmetric quantum field theories (QFT), with non simply laced gauge groups, obtained from superstring and F-theory compactifications on local Calabi-Yau manifolds. First we review the main lines of the toric method for ALE spaces with ADE singularities which we extend to non simply laced ordinary and affine singularities. Then, we develop two classes of solutions depending on the two possible realisations of the outer-automorphism group of the toric graph $\Delta$(ADE). In F-theory on elliptic Calabi-Yau manifolds, we give explicit results for the affine non simply laced toric data and the corresponding BCFG mirror geometries. The latters extend known results obtained in litterature for the affine ADE cases. We also study the geometric engineering of $ N=1$ supersymmetric gauge theory in eight dimensions. In type II superstring compactifications on local Calabi-Yau threefolds, we complete the analysis for ordinary ADE singularities by giving the explict derivation of the lacking non simply ones. Finally we develop the basis of polyvalent toric geometry. The latter extends bivalent and trivalent geometries, considered in the geometric engineering method, and use it to derive a new solution for the affine $\hat D_4$ singularity. Other features are also discussed.

Affiliated with

Also associated with

No associations

Rating

Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory 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 Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510703