Notes on adding D6 branes wrapping $$ \mathbb{R}\mathbb{P} $$3 in AdS4 × $$ \mathbb{C}\mathbb{P} $$3

We deform the $$ \mathcal{N} $$ = 6 Chern Simons theory by adding extra matter hypermultiplets in a fundamental representation of one or both gauge groups. We compute the quantum corrected moduli space. We verify that the holographic dual of the modified theory consists of the usual AdS4×$$ \mathbb{C}\mathbb{P} $$3 background in presence of AdS4 filling D6 branes which wrap $$ \mathbb{R}\mathbb{P} $$3 ⊂ $$ \mathbb{C}\mathbb{P} $$3. We extend the correspondence to a similar modification of more general known $$ \mathcal{N} $$ = 3 dual pairs.