Open-String Gromov-Witten Invariants: Calculations and a Mirror "Theorem"

Details Open-String Gromov-Witten Invariants: Calculations and a Mirror "Theorem" Open-String Gromov-Witten Invariants: Calculations and a Mirror "Theorem"

2001-09-09

arxiv.org/abs/hep-th/0109075v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

We propose localization techniques for computing Gromov-Witten invariants of maps from Riemann surfaces with boundaries into a Calabi-Yau, with the boundaries mapped to a Lagrangian submanifold. The computations can be expressed in terms of Gromov-Witten invariants of one-pointed maps. In genus zero, an equivariant version of the mirror theorem allows us to write down a hypergeometric series, which together with a mirror map allows one to compute the invariants to all orders, similar to the closed string model or the physics approach via mirror symmetry. In the noncompact example where the Calabi-Yau is $K_{\PP^2},$ our results agree with physics predictions at genus zero obtained using mirror symmetry for open strings. At higher genera, our results satisfy strong integrality checks conjectured from physics.

Affiliated with

Also associated with

No associations

Rating

Open-String Gromov-Witten Invariants: Calculations and a Mirror "Theorem" 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 Open-String Gromov-Witten Invariants: Calculations and a Mirror "Theorem", we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Open-String Gromov-Witten Invariants: Calculations and a Mirror "Theorem" will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203502