Rotating Restricted Schur Polynomials

Abstract

Large $N$ but non-planar limits of $\mathcal{N}=4$ super Yang-Mills theory can be described using restricted Schur polynomials. Previous investigations demonstrate that the action of the one loop dilatation operator on restricted Schur operators, with classical dimension of order $N$ and belonging to the $su(2)$ sector, is largely determined by the $su(2)$ $\mathcal{R}$ symmetry algebra as well as structural features of perturbative field theory. Studies presented so far have used the form of $\mathcal{R}$ symmetry generators when acting on small perturbations of half-BPS operators. In this article, as a first step towards going beyond small perturbations of the half-BPS operators, we explain how the exact action of symmetry generators on restricted Schur polynomials can be determined.

arXiv comment22+1 pages

References in corpus (26)

• The su(2|2) Dynamic S-Matrix
• Giant Gravitons in Conformal Field Theory
• A toy model for the AdS/CFT correspondence
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Exact Multi-Matrix Correlators
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• Diagonal free field matrix correlators, global symmetries and giant gravitons
• Nonplanar Integrability
• Giant Gravitons - with Strings Attached (III)
• Giant Graviton Oscillators
• Giant Gravitons - with Strings Attached (II)
• Exact Multi-Restricted Schur Polynomial Correlators
• Giant Gravitons - with Strings Attached (I)
• A double coset ansatz for integrability in AdS/CFT
• Giant gravitons: a collective coordinate approach
• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Permutation Centralizer Algebras and Multi-Matrix Invariants
• Open spin chains for giant gravitons and relativity
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Sketches of emergent geometry in the gauge/gravity duality
• Higher Loop Nonplanar Anomalous Dimensions from Symmetry
• On the central charge extension of the N=4 SYM spin chain

Cited by in corpus (2)

• Central Charges for the Double Coset
• Interacting Emergent Yang-Mills theory