A basis for large operators in N=4 SYM with orthogonal gauge group

Abstract

We develop techniques to study the correlation functions of "large operators" whose bare dimension grows parametrically with N, in SO(N) gauge theory. We build the operators from a single complex matrix. For these operators, the large N limit of correlation functions is not captured by summing only the planar diagrams. By employing group representation theory we are able to define local operators which generalize the Schur polynomials of the theory with gauge group U(N). We compute the two point function of our operators exactly in the free field limit showing that they diagonalize the two point function. We explain how these results can be used to obtain the exact free field answers for correlators of operators in the trace basis.

29 pages; minor typos corrected

References in corpus (6)

• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Nonplanar Integrability
• Surprisingly Simple Spectra
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• From Schurs to Giants in ABJ(M)

Cited by in corpus (22)

• Quivers as Calculators: Counting, Correlators and Riemann Surfaces
• Giant gravitons: a collective coordinate approach
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• Exact probes of orientifolds
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• BPS coherent states and localization
• 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
• Flavour singlets in gauge theory as Permutations
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Anomalous Dimensions of Heavy Operators from Magnon Energies
• SO(N) restricted Schur polynomials
• Permutation symmetry in large N Matrix Quantum Mechanics and Partition Algebras
• Restricted Schurs and correlators for SO(N) and Sp(N)
• Orthogonal Schurs for Classical Gauge Groups
• Finite N Quiver Gauge Theory
• Hidden symmetries and Large N factorisation for permutation invariant matrix observables
• Graph duality as an instrument of Gauge-String correspondence
• Novel charges in CFT's
• Interior analysis, stretched technique and bubbling geometries
• Generating Functions for Giant Graviton Bound States
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$