English

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

High Energy Physics - Theory 2009-11-07 v2

Abstract

We derive the Wilsonian renormalization group equation in two dimensional N=2{\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.

Keywords

Cite

@article{arxiv.hep-th/0205036,
  title  = {Wilsonian Renormalization Group Approach to ${\cal N}=2$ Supersymmetric Sigma Models},
  author = {Kiyoshi Higashijima and Etsuko Itou},
  journal= {arXiv preprint arXiv:hep-th/0205036},
  year   = {2009}
}

Comments

LaTeX2e, 20 pages, 3 figures