Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges

Abstract

We construct necessary and sufficient geometric conditions for a class of AdS${}_2$ solutions of M-theory with, at least, minimal supersymmetry to exist. We generalize previous results in the literature for $\mathcal{N}=(2,0)$ supersymmetry in AdS${}_2$ to $\mathcal{N}=(1,0)$. When the solution can be locally described as AdS${}_2\times {\Sigma }_g\times$SE${}_7$ with ${\Sigma }_g$ a Riemann surface of genus $g$ and SE${}_7$ a seven-dimensional Sasaki-Einstein manifold, we clarify and unify various solutions present in the literature. In the case of SE${}_7=Q^{1,1,1}$ we find a new solution with baryonic and mesonic charges turned on simultaneously.

40 pages, 10 figures; v2: typos corrected, references added; v3: A summarizing table and references added, JHEP version