Restricted Schurs and correlators for SO(N) and Sp(N)

Abstract

In a recent work, restricted Schur polynomials have been argued to form a complete orthogonal set of gauge invariant operators for the 1/4-BPS sector of free N = 4 super Yang-Mills theory with an SO(N) gauge group. In this work, we extend these results to the theory with an Sp(N) gauge group. Using these operators, we develop techniques to compute correlation functions of any multi-trace operators with two scalar fields exactly in the free theory limit for both SO(N) and Sp(N).

arXiv comment24 pages

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Cited by in corpus (7)

• BPS states, conserved charges and centres of symmetric group algebras
• BPS operators in $\mathcal{N}=4$ $SO(N)$ super Yang-Mills theory: plethysms, dominoes and words
• Quarter-BPS states, multi-symmetric functions and set partitions
• Anomalous Dimensions of Heavy Operators from Magnon Energies
• Graph duality as an instrument of Gauge-String correspondence
• Generating Functions for Giant Graviton Bound States
• Multi-trace Correlators from Permutations as Moduli Space