= M2-brane probe no-force identity
{c}
{title2=$\mathcal L_{\rm static}=-T_2$}
For $F=\operatorname{vol}_{012}\wedge dH^{-1}$ and $F=dA$, choose $A=(1-H^{-1})\operatorname{vol}_{012}$. A parallel probe then has $q=-1$ in the <supermembrane action>, so its induced-volume term $-T_2H^{-1}$ and potential term $-T_2(1-H^{-1})$ add to a position-independent constant. This proves the cancellation without a weak-field approximation. An oppositely charged probe has no such cancellation.
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