Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons

2004/11/30 by Muneto Nitta
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1142/s0217732305016828

published as Mod.Phys.Lett. A20 (2005) 577-584 · 9 pages, no figures

arxiv created 2004/12/26 · arxiv updated 2009/12/01

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.

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