Conformal sigma models with anomalous dimensions and Ricci solitons

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12 Citations (Scopus)


We present new non-Ricci-flat Kähler 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 Kähler metrics on the canonical line bundles over certain coset spaces in the limit of vanishing anomalous dimension.

Original languageEnglish
Pages (from-to)577-584
Number of pages8
JournalModern Physics Letters A
Issue number8
Publication statusPublished - 2005 Mar 14
Externally publishedYes


  • Anomalous dimension
  • Calabi-Yau manifolds
  • Canonical line bundle
  • Euclidean black hole
  • Non-Ricci-flat Kähler manifolds
  • Ricci flow
  • Ricci solitons
  • Superconformally invariant sigma models
  • U(N) isom̈ etry
  • Wilsonian renormalization group equation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics
  • Physics and Astronomy(all)


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