The Topological G2 String

Details The Topological G2 String The Topological G2 String

2005-06-24

arxiv.org/abs/hep-th/0506211v2

Physics

High Energy Physics

High Energy Physics - Theory

76 pages, 1 figure, typos corrected

Scientific paper

10.1002/prop.200510214

We construct new topological theories related to sigma models whose target space is a seven dimensional manifold of G_2 holonomy. We define a new type of topological twist and identify the BRST operator and the physical states. Unlike the more familiar six dimensional case, our topological model is defined in terms of conformal blocks and not in terms of local operators of the original theory. We also present evidence that one can extend this definition to all genera and construct a seven-dimensional topological string theory. We compute genus zero correlation functions and relate these to Hitchin's functional for three-forms in seven dimensions. Along the way we develop the analogue of special geometry for G_2 manifolds. When the seven dimensional topological twist is applied to the product of a Calabi-Yau manifold and a circle, the result is an interesting combination of the six dimensional A- and B-models.

Affiliated with

Also associated with

No associations

Rating

The Topological G2 String 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 The Topological G2 String, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Topological G2 String will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581539