Topological Strings and Integrable Hierarchies

Details Topological Strings and Integrable Hierarchies Topological Strings and Integrable Hierarchies

2003-12-09

arxiv.org/abs/hep-th/0312085v1

Commun.Math.Phys. 261 (2006) 451-516

Physics

High Energy Physics

High Energy Physics - Theory

82 pages, harvmac, 1 figure

Scientific paper

We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using W-algebra symmetries which encodes the symmetries of holomorphic diffeomorphisms of the Calabi-Yau. In the highly effective fermionic/brane formulation this leads to a free fermion description of the amplitudes. Furthermore we argue that topological strings on Calabi-Yau geometries provide a unifying picture connecting non-critical (super)strings, integrable hierarchies, and various matrix models. In particular we show how the ordinary matrix model, the double scaling limit of matrix models, and Kontsevich-like matrix model are all related and arise from studying branes in specific local Calabi-Yau three-folds. We also show how A-model topological string on P^1 and local toric threefolds (and in particular the topological vertex) can be realized and solved as B-model topological string amplitudes on a Calabi-Yau manifold.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-460849