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1、P.BineHtruyetal./PhysicsReports343(2001)255}462255SUPERGRAVITYCOUPLINGS:AGEOMETRICFORMULATIONP.BINEDTRUY,G.GIRARDI,R.GRIMMLaboratoiredePhysiqueTheHorique,LPT,UniversiteHParis-XI,BaLtiment210,F-91405OrsayCedex,FranceLaboratoired+Annecy-le-VieuxdePhysiqueTheHo
2、riqueLAPTH,ChemindeBellevue,BP-110,F-74941Annecy-le-VieuxCedex,FranceCentredePhysiqueTheHoriqueCPT,C.N.R.S.Luminy,Case907,F-13288MarseilleCedex09,FranceAMSTERDAM}LONDON}NEWYORK}OXFORD}PARIS}SHANNON}TOKYOPLREP=1020=Elizabeth=Venkatachala=BGPhysicsReports343(2001)
3、255}462Supergravitycouplings:ageometricformulationP.BineHtruy,G.Girardi,R.Grimm*LaboratoiredePhysiqueThe&orique,LPT,Universite&Paris-XI,BaLtiment210,F-91405OrsayCedex,FranceLaboratoired'Annecy-le-VieuxdePhysiqueThe&orique,LAPTH,ChemindeBellevue,BP110,F-74
4、941Annecy-le-VieuxCedex,FranceCentredePhysiqueThe&orique,CPT,C.N.R.S.Luminy,Case907,F-13288MarseilleCedex09,FranceReceivedMay2000;editor:J.BaggerContents1.Introduction2585.6.Non-holomorphicgaugecouplings3512.Rigidsuperspacegeometry2605.7.Severallinearmultiplets
5、3542.1.Prolegomena2606.Three-formcouplingtosupergravity3572.2.Abeliangaugestructure2676.1.Generalremarks3572.3.SupersymmetricYang}MillsTheories2766.2.The3-formmultipletgeometry3582.4.SupersymmetryandKaKhlerManifolds2806.3.Generalactionterms3663.Matterincurvedsupe
6、rspace2847.Conclusion3753.1.Minimalsupergravity285Acknowledgements3783.2.Super"eldrescaling287AppendixA.Technicalities3793.3.;(1)superspacegeometry293A.1.Superformstoolkit3793.4.FormulationinKaKhlersuperspace298A.2.BasicquantitiesinSO(1,3)andS¸(2,C)3804.Component
7、"eldformalism308A.3.Spinornotationsfortensors3854.1.De"nitionofcomponent"elds309AppendixB.Elementsof;(1)superspace3874.2.Somebasicbuildingblocks314B.1.Generalde"nitions3874.3.Supersymmetrytransformations318B.2.Torsiontensorcomponents3884.4.Genericcomponent"eldact
8、ion323B.3.Curvatureand;(1)"eldstrength4.5.Invariantactions326components3905.Linearmultipletandsupergravity333B.4.Derivativerelations3935.1.Thelinearmultipletin
