Restricted Schur Polynomials and Finite N Counting

Abstract

Restricted Schur polynomials have been posited as orthonormal operators for the change of basis from N=4 SYM to type IIB string theory [1,2,3,4]. In this letter we briefly expound the relationship found between the restricted Schurs and the operators found by Brown, Heslop and Ramgoolam in [5]. We then briefly examine the finite N counting of the restricted Schur polynomials.

13 pages

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Cited by in corpus (15)

• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Permutation Centralizer Algebras and Multi-Matrix Invariants
• Cut-and-join operators and N=4 super Yang-Mills
• Correlators Of Operators with a Large R-charge
• Free particles from Brauer algebras in complex matrix models
• Invariant Operators, Orthogonal Bases and Correlators in General Tensor Models
• Beyond the Planar Limit in ABJM
• Quarter-BPS states, multi-symmetric functions and set partitions
• Multi-matrix models and Noncommutative Frobenius algebras obtained from symmetric groups and Brauer algebras
• SO(N) restricted Schur polynomials
• New results for the SQCD Hilbert series
• Finite N Quiver Gauge Theory
• Three-point Functions in $\mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence
• Matrix and tensor witnesses of hidden symmetry algebras