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

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

2002-05-05

arxiv.org/abs/hep-th/0205036v2

Prog.Theor.Phys. 108 (2002) 737-753

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 20 pages, 3 figures

Scientific paper

10.1143/PTP.108.737

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

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