Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges

We construct necessary and sufficient geometric conditions for a class of AdS2 solutions of M-theory with, at least, minimal supersymmetry to exist. We generalize previous results in the literature for N = (2,0) supersymmetry in AdS2 to N = (1,0). When the solution can be locally described as AdS2 × Σg × SE7 with Σg a Riemann surface of genus g and SE7 a seven-dimensional Sasaki-Einstein manifold, we clarify and unify various solutions present in the literature. In the case of SE7 = Q1,1,1 we find a new solution with baryonic and mesonic charges turned on simultaneously.