Branes in the bulk of Anti-de Sitter space
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We 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 error
latex, 8 pp. (v2) Added references and a comment on other base spaces. (v3) fixed sign error