2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177992We obtain the Killing equations and the corresponding infinitesimal isometries for the ten dimensional space generated by a large number of coincident D3-branes. In a convenient limit this space becomes an $AdS_5\times S^5$ which is relevant for the AdS/CFT correspondence. In this case, using Poincare coordinates, we also write down the Killing equations and infinitesimal isometries. Then we obtain a simple realization of the isomorphism between $AdS$ isometries and the boundary conformal group.9 pages, no figures. Version 2: we now present more details on the solution of the Killing equationsHigh Energy Physics - Theorytext