In $D$-dimensional gauge theory with a kinetic term based on the p-form tensor gauge field, we introduce a gauge invariant operator associated with the composite formed from a electric $(p-1)$-brane and a magnetic $(q-1)$-brane in $D=p+q+1$ spacetime dimen

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aCompositeOperatorsandTopologicalContributionsinGaugeTheoryJungjaiLee1DepartmentofPhysics,DaeJinUniversity,PoCheon,GyeongGi487-711,KoreaYeongDeokHan2DepartmentofPhysics,WoosukUniversity,Hujeong,Samrye,Wanju,Cheonbuk565-701,KoreaAbstractInD-dimensionalgaugetheorywithakinetictermbasedonthep-formtensorgauge eld,weintroduceagaugeinvariantoperatorassociatedwiththecompositeformed

fromaelectric(p 1)-braneandamagnetic(q 1)-braneinD=p+q+1spacetimedimensions.Byevaluatingthepartitionfunctionforthisoperator,weshowthattheexpectationvalueofthisoperatorgivesrisetothetopologicalcontributionsidenticaltothoseingaugetheorywithatopologicalChern-SimonsBFterm.