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Dimensions of Supersymmetric Operators from AdS/CFT

arXiv:0802.2946 · doi:10.1088/1126-6708/2009/06/027

Abstract

We examine the AdS/CFT correspondence through a manifestly 5D supersymmetric formalism, corresponding to a 4D N=1 supersymmetric CFT. We find that the dimensions of scalar and fermionic component operators are simply related, and that there is a smooth transition of scalar operator dimensions through the value d_s = 2. By using this formalism, we also show that the formula used in the string literature for the dimension of fermion operators is incomplete.

11 pages