Restricted Schur polynomials and finite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>counting

Abstract

Restricted Schur polynomials have been posited as orthonormal operators for the change of basis from $\mathcal{N}=4$ SYM to type IIB string theory. In this paper we briefly expound the relationship between the restricted Schur polynomials and the operators forwarded by Brown, Heslop, and Ramgoolam. We then briefly examine the finite $N$ counting of the restricted Schur polynomials.