weinberg__the_quantum_theory_of_fields_volume_iii__supersymmetry

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1、TheQuantumTheoryofFieldsVolumeIIISupersymmetryStevenWeinbergUniversityofTexasatAustinCAMBRIDGEUNIVERSITYPRESSPUBLISHEDBYTHEPRESSSYNDICATEOFTHEUNIVERSITYOFCAMBRIDGEThePittBuilding,TrumpingtonStreet,Cambridge,UnitedKingdomCAMBRIDGEUNIVERSITYPRESSTheEdinburghBuilding,CambridgeCB22RU,

2、UKhttp://www.cup.cam.ac.uk40West20thStreet,NewYork,NY10011-4211,USAhttp://www.cup.org10StamfordRoad,Oakleigh,Melbourne3166,AustraliaRuizdeAlarcon13,28014Madrid,SpainQStevenWeinberg2000Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensinga

3、greements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublished2000PrintedintheUnitedStatesofAmericaTypefaceTimes(Monotype)11/13pt.SystemLATEX[nBn]AcataloguerecordofthisbookisavailablefromtheBritishLibraryISBN0521660009hardbackCont

4、entsSectionsmarkedwithanasteriskaresomewhatoutofthebook'smainlineofdevelopmentandmaybeomittedinafirstreading.PREFACETOVOLUMEIIIxviNOTATIONxx24HISTORICALINTRODUCTION124.1UnconventionalSymmetriesand'No-Go'Theorems1SU(6)symmetry❑Elementaryno-gotheoremforunconventionalsemi-simplecompa

5、ctLiealgebras❑Roleofrelativity24.2TheBirthofSupersymmetry4BosonicstringtheoryoFermioruccoordinatesoWorldsheetsupersymmetryoWess-Zuminomodel❑PrecursorsAppendixASU(6)SymmetryofNon-RelativisticQuarkModels8AppendixBTheColeman-MandulaTheorem12Problems22References2225SUPERSYMMETRYALGEBR

6、AS2525.1GradedLieAlgebrasandGradedParameters25Fermionicandbosonicgenerators0Super-3acobiidentity❑Grassmannpar-ametersoStructureconstantsfromsupergroupmultiplicationrules❑Complexconjugates25.2SupersymmetryAlgebras29Haag-Lopuszanski-Sohniustheorem❑Lorentztransformationoffermionicgen

7、-erators13Centralcharges0OtherbosonicsymmetriesoR-symmetry❑SimpleviiviiiContentsandextendedsupersymmetry❑Four-componentnotation❑Superconformalalgebra25.3SpaceInversionPropertiesofSupersymmetryGenerators40Parityphasesinsimplesupersymmetry0FermionshaveimaginaryparityDParitymatricesi

8、nextendedsupersymmetry❑Diracnotat