Vacuum Geometry of the N=2 Wess-Zumino Model

Details Vacuum Geometry of the N=2 Wess-Zumino Model Vacuum Geometry of the N=2 Wess-Zumino Model

2003-08-05

arxiv.org/abs/hep-th/0308038v2

Commun.Math.Phys. 251 (2004) 133-156

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1007/s00220-004-1170-z

We give a mathematically rigorous construction of the moduli space and vacuum geometry of a class of quantum field theories which are N=2 supersymmetric Wess-Zumino models on a cylinder. These theories have been proven to exist in the sense of constructive quantum field theory, and they also satisfy the assumptions used by Vafa and Cecotti in their study of the geometry of ground states. Since its inception, the Vafa-Cecotti theory of topological-antitopological fusion, or tt* geometry, has proven to be a powerful tool for calculations of exact quantum string amplitudes. However, tt* geometry postulates the existence of certain vector bundles and holomorphic sections built from the ground states. Our purpose in the present article is to give a mathematical proof that this postulate is valid within the context of the two-dimensional N=2 supersymmetric Wess-Zumino models. We also give a simpler proof in the case of holomorphic quantum mechanics.

Affiliated with

Also associated with

No associations

Rating

Vacuum Geometry of the N=2 Wess-Zumino Model 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 Vacuum Geometry of the N=2 Wess-Zumino Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vacuum Geometry of the N=2 Wess-Zumino Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685825