Composite Operators and Topological Contributions in Gauge T

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

1

2

ay

M

9

1

1

v

9

8

1

5

1

/0h

t

-

p

e

:hv

i

X

r

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.