Dimensions of Supersymmetric Operators from AdS/CFT
G.Cacciapaglia, G.Marandella, J.Terning (UC Davis)
TL;DR
This paper develops a 5D supersymmetric formalism to analyze the AdS/CFT correspondence, revealing relationships between operator dimensions and correcting existing formulas used in string theory.
Contribution
It introduces a manifestly 5D supersymmetric approach to study operator dimensions in AdS/CFT, clarifies the relation between scalar and fermionic operator dimensions, and corrects a formula in string literature.
Findings
Scalar and fermionic operator dimensions are simply related.
Scalar operator dimensions transition smoothly through d_s=2.
The string literature formula for fermion operator dimensions is incomplete.
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.
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