Abstract
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 language | English |
|---|---|
| Pages (from-to) | 577-584 |
| Number of pages | 8 |
| Journal | Modern Physics Letters A |
| Volume | 20 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2005 Mar 14 |
| Externally published | Yes |
Keywords
- 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
- General Physics and Astronomy
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