Wilsonian Renormalization Group Approach to $\mathcal{N}=2$ Supersymmetric Sigma Models

Abstract

We derive the Wilsonian renormalization group equation in two dimensional $\mathcal{N}=2$ supersymmetric nonlinear sigma models. This equation shows that the sigma models on compact Einstein Kähler manifolds are aymptotically free. This result is gerenal and does not depend on the specific forms of the Kähler potentials. We also examine the renormalization group flow in a new model which connects two manifolds with different global symmetries.

LaTeX2e, 20 pages, 3 figures

References in corpus (2)

• Gauge Theoretical Construction of Non-compact Calabi-Yau Manifolds
• Calabi-Yau Manifolds of Cohomogeneity One as Complex Line Bundles

Cited by in corpus (4)

• Conformal Sigma Models with Anomalous Dimensions and Ricci Solitons
• On the Renormalization of Theories of a Scalar Chiral Superfield
• Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models
• Kaehler-Ricci Flow, Morse Theory, and Vacuum Structure Deformation of N=1 Supersymmetry in Four Dimensions