2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190660We present a generalization of the infinitesimal gauge transformation for nonabelian fields on the stack of branes up to the third order in $Φ$. We test the gauge invariance of the action up to the fifth order in $Φ$ for $D$-instantons. This substantiates the Myers formula for the Chern-Simons term in action, which describes interaction with the RR fields of $N$ coincident $\Dp$ branes.LaTeX, 9 pages, corrected some typos and further acknowledgmentsHigh Energy Physics - Theorytext