Dimensions of Supersymmetric Operators from AdS/CFT

Understand

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.