AdS scalar mass--dimension relation
= AdS scalar mass--dimension relation
{c}
{title2=$m^2L^2=\Delta(\Delta-d)$}
For a scalar field of mass $m$ on $\operatorname{AdS}_{d+1}$ of radius $L$, the scaling dimension of the dual scalar primary obeys $m^2L^2=\Delta(\Delta-d)$. The two roots correspond to the two independent near-boundary falloffs.