Correlators of mixed symmetry operators in defect CFTs

We use the embedding formalism technique to study correlation functions of a d-dimensional Euclidean CFT in the presence of a q co-dimensional defect. The defect breaks the global conformal group SO(d + 1, 1) into SO(d - q + 1, 1) x SO(q). We calculate all possible invariant structures that can appear in one-point, two-point and three-point correlation functions of bulk and defect operators in mixed symmetry representation. Their generalization to n-point correlation functions are also worked out. Correlation functions in the presence of a defect, in arbitrary representation of SO(q), are also calculated.