Composite Operators and Topological Contributions in Gauge T(5)

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

whereSqisthegeometricalactionfora(q 1)-brane.

PerformingtheintegrationoverAµ1µ2...µpleadsto

<XE(Wp,Wq)>=exp Wpdxµ1µ2...µp Wpdyµ1µ2...µp1

1

xµ1(