We perform a complete classification of AdS2 solutions of Type II supergravity realising \( \mathcal{N} \) = 6 supersymmetry and OSp(6|2) superconformal symmetry on backgrounds that are foliations of AdS2 × ℂℙ3 over a Riemann surface Σ2. Such solutions only exist in type IIB supergravity and are in 1 to 1 correspondence with a fourth order PDE that can be locally solved in terms of two holomorphic functions. Particular solutions in the class are the T-duals of the AdS3 × ℂℙ3 and AdS2 × S7 solutions to massive Type IIA supergravity found in the literature. We discuss the field theory interpretation of the two sub-classes of solutions related to AdS3 × ℂℙ3 by Abelian and non-Abelian T-duality, which provide explicit examples for the Riemann surface an annulus or a strip. In the second case we interpret the solutions as holographic duals to baryon vertex configurations realised in D2-brane box models.
