SO(N) restricted Schur polynomials

Abstract

We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT dual in the form of type IIB string theory with AdS_5 X RP^5 geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials matches by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals.

34 pages

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Cited by in corpus (9)

• 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
• Orbifold ETW brane and half-indices
• Novel charges in CFT's
• Generating Functions for Giant Graviton Bound States
• Counting paths with Schur transitions