Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons

Details Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons

2004-11-16

arxiv.org/abs/hep-th/0411149v2

Mod.Phys.Lett. A20 (2005) 577-584

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures

Scientific paper

10.1142/S0217732305016828

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.

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