2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55580We consider (3 + 1)-dimensional N=4 super Yang-Mills theory with a nonvanishing scalar Higgs vacuum expectation value, and compare this theory to AdS supergravity with branes in the bulk. We show that the one-loop effective potential for excitations of the Yang-Mills field agrees with the classical linearized potential for brane waves in the AdS picture in the limit of long wavelengths. This supports the idea that the AdS/CFT correspondance fits into string theory as expected from previous work.latex, 8 pp. (v2) Added references and a comment on other base spaces. (v3) fixed sign errorHigh Energy Physics - Theorytext