GUTs and exceptional branes in Ftheory — I
Abstract
Motivated by potential phenomenological applications, we develop the necessary tools for building GUT models in Ftheory. This approach is quite flexible because the local geometrical properties of singularities in Ftheory compactifications encode the physical content of the theory. In particular, we show how geometry determines the gauge group, matter content and Yukawa couplings of a given model. It turns out that these features are beautifully captured by a fourdimensional topologically twisted Script N = 4 theory which has been coupled to a surface defect theory on which chiral matter can propagate. From the vantagepoint of the fourdimensional topological theory, these defects are surface operators. Specific intersection points of these defects lead to Yukawa couplings. We also find that the unfolding of the singularity in the Ftheory geometry precisely matches to properties of the topological theory with a defect.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2009
 DOI:
 10.1088/11266708/2009/01/058
 arXiv:
 arXiv:0802.3391
 Bibcode:
 2009JHEP...01..058B
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 v2: 121 pages, 5 figures, reference and clarification added