Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons

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.

arXiv comment9 pages, no figures

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Cited by in corpus (6)

• On Supersymmetric Geometric Flows and ${\mathcal{R}}^2$ Inflation From Scale Invariant Supergravity
• Nonholonomic Ricci Flows and Parametric Deformations of the Solitonic pp--Waves and Schwarzschild Solutions
• Nonholonomic Ricci Flows: Exact Solutions and Gravity
• Deformation of Curved BPS Domain Walls and Supersymmetric Flows on 2d Kähler-Ricci Soliton
• Kaehler-Ricci Flow, Morse Theory, and Vacuum Structure Deformation of N=1 Supersymmetry in Four Dimensions
• Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties