Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-08
Nucl.Phys.B806:224-299,2009
Physics
High Energy Physics
High Energy Physics - Theory
100 pages; v2. corrections in section 6.2; v4. an open problem on ramification points solved, and typos corrected (not in Nucl
Scientific paper
10.1016/j.nuclphysb.2008.07.031
In order to understand both up-type and down-type Yukawa couplings, F-theory is a better framework than the perturbative Type IIB string theory. The duality between the Heterotic and F-theory is a powerful tool in gaining more insights into F-theory description of low-energy chiral multiplets. Because chiral multiplets from bundles /\^2 V and /\^2 V^x as well as those from a bundle V are all involved in Yukawa couplings in Heterotic compactification, we need to translate descriptions of all those kinds of matter multiplets into F-theory language through the duality. We find that chiral matter multiplets in F-theory are global holomorphic sections of line bundles on what we call covering matter curves. The covering matter curves are formulated in Heterotic theory in association with normalization of spectral surface, while they are where M2-branes wrapped on a vanishing two-cycle propagate in F-theory. Chirality formulae are given purely in terms of (possibly primitive) four-form flux. In order to complete the translation, the dictionary of the Heterotic--F theory duality has to be refined in some aspects. A precise map of spectral surface and complex structure moduli is obtained, and with the map, we find that divisors specifying the line bundles correspond precisely to codimension-3 singularities in F-theory.
Hayashi Hirotaka
Tatar Radu
Toda Yukinobu
Watari Taizan
Yamazaki Masahito
No associations
LandOfFree
New Aspects of Heterotic--F Theory Duality 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 New Aspects of Heterotic--F Theory Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Aspects of Heterotic--F Theory Duality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-52114