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

TL;DR

This paper derives geometric conditions for AdS$_2$ solutions in M-theory with minimal supersymmetry, unifies existing solutions, and finds a new one with combined baryonic and mesonic charges.

Contribution

It generalizes previous classifications of AdS$_2$ solutions to include ${ m extstyle(1,0)}$ supersymmetry and introduces a new solution with baryonic and mesonic charges.

Findings

Unified various AdS$_2$ solutions in the literature.

Derived necessary and sufficient geometric conditions.

Discovered a new solution with baryonic and mesonic 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 ${\cal N}=(2,0)$ supersymmetry in AdS$_2$ to ${\cal N}=(1,0)$. 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.