English

Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons

High Energy Physics - Theory 2007-05-23 v2

Abstract

We present new non-Ricci-flat Kahler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kahler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension.

Keywords

Cite

@article{arxiv.hep-th/0411149,
  title  = {Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons},
  author = {Muneto Nitta},
  journal= {arXiv preprint arXiv:hep-th/0411149},
  year   = {2007}
}

Comments

9 pages, no figures