Extremal chiral ring states in the AdS/CFT correspondence are described by free fermions for a generalized oscillator algebra

@article{Berenstein2015ExtremalCR,
  title={Extremal chiral ring states in the AdS/CFT correspondence are described by free fermions for a generalized oscillator algebra},
  author={David Berenstein},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={046006}
}
This paper studies a special class of states for the dual conformal field theories associated with supersymmetric $AdS_5\times X$ compactifications, where $X$ is a Sasaki-Einstein manifold with additional $U(1)$ symmetries. Under appropriate circumstances, it is found that elements of the chiral ring that maximize the additional $U(1)$ charge at fixed R-charge are in one to one correspondence with multitraces of a single composite field. This is also equivalent to Schur functions of the… 

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