Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-30
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 27 pp; v2. affiliations of the authors and typos corrected. To appear in Yuri Golfand Memorial Volume
Scientific paper
We study instanton-corrected renormalization group flow in the two dimensional sigma models and four dimensional gauge theory. In two dimensions we do that by replacing the non-linear supersymmetric ${\IC\IP}^{N-1}$ model by the gauged linear sigma model which is in the same universality class. We compare the moduli spaces of the instantons in the non-linear model and that of BPS field configurations in the linear model. We reduce the problem of matching of the parameters of the two systems to the intersection theory on the compact moduli space of the latter model. Both cases (2d and 4d) are unified by the notion of the {\it freckled instantons}. We also put an end to the discussion of the nature of the superpotentials $W \sim {\s} {\rm log} {\s}$ in 2d and 4d and discover the surprising disconnectnessness of the effective target space.
Losev Andrei
Nekrasov Nikita
Shatashvili Samson
No associations
LandOfFree
The Freckled Instantons 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 Freckled Instantons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Freckled Instantons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-499410