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

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

2

002 ayM 71 2v630502/0ht-pe:hviXraOU-HET410hep-th/0205036

May2002

ApproachWilsonianSigmatoRenormalizationN=Models

2Supersymmetric

GroupKiyoshiHigashijima andEtsukoItou

DepartmentofPhysics,GraduateSchoolofScience,OsakaUniversity,

Toyonaka,Osaka560-0043,Japan

Abstract

WederivetheWilsonianrenormalizationgroupequationintwodimensionalN=2supersymmetricnonlinearsigmamodels.ThisequationshowsthatthesigmamodelsoncompactEinsteinK¨ahlermanifoldsareaymptoticallyfree.Thisresultisgerenalanddoesnotdependonthespeci cformsoftheK¨ahlerpotentials.Wealsoexaminetherenormalizationgroup owinanewmodelwhichconnectstwomanifoldswithdi erentglobalsymmetries.

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