  Conformal symmetry is broken by a flat or spherical defect operator
$\mathcal{D}$. We show that this defect operator, may be identified as a pair
of twist operators which are inserted at the tips of its causal diamond. Any
$k-$point correlation function in a flat or spherical defect CFT is equivalent
to a $(k+2)-$point correlation function. We reproduce one point correlation
functions and also solve two point correlation functions in defect CFTs .
Mutual R\'enyi entropy is computed and agrees with previous result in a certain
limit. We conjecture there may be universal terms in general co-dimension two
defect CFTs.
