简介：Thebundleofthe2-formson6-manifolddecomposesintothreesubbundlessuchthatΛ2（R6）=Λ21⊕Λ26⊕Λ28withdimensions1,6and8,respectively.Theselfandantiselfdualitysolutionsofthe2-forms,calledΦ-duality,arehandledandthesesolutionsshowthattheantiselfdualgaugefieldsliveonthesubbundlesΛ21andΛ26whiletheselfonesequationsonΛ28.AlsothesolutiononΛ21presentsaflatconnection.Inaddition,thecurvaturesoftheconnectionsonΛ26andΛ28haveTr[F3]=0,andsothetopologicalinvariantsdeterminedbytheChernclasses,i.e.topologicalcharge,consistonlyonthesecondChernclass.Intheresultofthiscase,theantiselfandselfΦ-dualgaugeinvariantLagrangiansofdefinedonbothsubbundlesareboundedbythesametopologicalcharge.Also,onegivesaquantizationcasetoberelatingtotheinstantonnumber.