2002/05/17 by Kiyoshi Higashijima, Etsuko Itou
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1143/ptp.108.737
published as Prog.Theor.Phys. 108 (2002) 737-753 · LaTeX2e, 20 pages, 3 figures
arxiv created 2002/05/17 · openalex publication_date 2002/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We derive the Wilsonian renormalization group equation in two dimensional N=2 supersymmetric nonlinear sigma models. This equation reveals that these sigma models on compact Einstein Kähler manifolds are aymptotically free. This result is general and does not depend on the specific forms of the Kähler potentials. We also examine the renormalization group flow for a new model which connects two manifolds with different global symmetries.