M2-brane near-horizon geometry
= M2-brane near-horizon geometry
{c}
{title2=$\mathrm{AdS}_4(R/2)\times S^7(R)$}
For $H\sim R^6/r^6$, changing radial coordinate to $z=R^3/(2r^2)$ gives an AdS metric of radius $R/2$ times a round sphere of radius $R$. The <Freund-Rubin compactification> flux has magnitude $6/R$ in the AdS volume form. This is the regular positive-charge membrane throat, rather than the limit of an arbitrary singular harmonic multipole.
// Target: supersymmetry.bigb