Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-19
Commun.Math.Phys.280:27-76,2008
Physics
High Energy Physics
High Energy Physics - Theory
62 pages, v3: some results at genus 3 corrected, more typos corrected
Scientific paper
10.1007/s00220-007-0407-z
We study topological string amplitudes for the FHSV model using various techniques. This model has a type II realization involving a Calabi-Yau threefold with Enriques fibres, which we call the Enriques Calabi-Yau. By applying heterotic/type IIA duality, we compute the topological amplitudes in the fibre to all genera. It turns out that there are two different ways to do the computation that lead to topological couplings with different BPS content. One of them leads to the standard D0-D2 counting amplitudes, and from the other one we obtain information about bound states of D0-D4-D2 branes on the Enriques fibre. We also study the model using mirror symmetry and the holomorphic anomaly equations. We verify in this way the heterotic results for the D0-D2 generating functional for low genera and find closed expressions for the topological amplitudes on the total space in terms of modular forms, and up to genus four. This model turns out to be much simpler than the generic B-model and might be exactly solvable.
Klemm Albrecht
Marino Marcos
No associations
LandOfFree
Counting BPS states on the Enriques Calabi-Yau 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 Counting BPS states on the Enriques Calabi-Yau, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counting BPS states on the Enriques Calabi-Yau will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-281401