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By Aspectsofsuperembeddings Hep-th/ Ni--nqf June

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AcontributiontotheD.V.Volkovmemorialvolume yResearchsupportedinpartbyNSFGrantPHY-9411543 zPermanentAddress:DepartmentofMathematics,King'sCollege,London,UK1Introduction [8,9].Thespacetimesupersymmetricformalismdoesinvolvealocalfermionicsymmetry,called 2].Upuntilthenithadbeenthoughtthat,althoughthesuperstringcanbedescribedwitheither includingthesuperparticle[7],couldonlybewrittenwithmanifestspacetimesupersymmetry worldsheet[3,4,5]orspacetimesupersymmetry[6],allotherextendedsupersymmetricobjects, OneofthemanycontributionsthatD.V.Volkovmadetomoderntheoreticalphysicswasthe realisationthatsupersymmetricparticles,movinginthreeorfourdimensionalspacetimes,canbe describedusingaformalismwhichhasbothworldlineandspacetimesupersymmetriesbuiltin[1, termsoftheembeddingofonesuperspace,theworldsurface,intoanother,thetargetsuperspace. supersymmetry.SubsequentlytheformalismhasbeendevelopedbytheKharkovgroupand fulllistofreferences).Italsograduallybecameclearthattheformalismcanbeunderstoodin theKharkovgroupshowedthatitcanbederivedfrom,andisequivalentto,localworldsurface others,andhasbeenappliedtovariousothersupersymmetricextendedobjects(see[11]fora Althoughthispointofviewwasimplicitintheearlypapersitwasmadeexplicitinastudyofthe heteroticstring[12]andwasfurtherdevelopedin[11].Morerecently,in[13],itwasshownthat-symmetry[10],butthegeometricnatureofthissymmetryremainedobscureuntiltheworko

Year: 1997
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