Quarter BPS classified by Brauer algebra

Abstract

We analyse the one-loop dilatation operator with the help of the Brauer algebra. We find some BPS operators in N=4 SYM, which are labelled by irreducible representations of the Brauer algebra. Some of them are quarter BPS operators. The result includes full non-planar corrections. Our construction and proof are based on simple algebraic arguments and are carried out for any number of fields.

16 pages, 2 figures; (v2) some comments added, typos corrected; (v3) some explanations added

References in corpus (11)

• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Giant Gravitons - with Strings Attached (III)
• Counting BPS operators in N=4 SYM
• Schur-Weyl duality as an instrument of Gauge-String duality
• Permutations and the Loop
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Quasilocality of joining/splitting strings from coherent states
• Cut-and-join operators and N=4 super Yang-Mills
• Free particles from Brauer algebras in complex matrix models
• Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds

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• Non-planar Anomalous Dimensions in the sl(2) Sector
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• Flavour singlets in gauge theory as Permutations
• Quarter-BPS states, multi-symmetric functions and set partitions
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• Young diagrams, Brauer algebras, and bubbling geometries
• Permutation symmetry in large N Matrix Quantum Mechanics and Partition Algebras
• Subleading corrections to the Double Coset Ansatz preserve integrability
• Finite N Quiver Gauge Theory
• Non-planar operator mixing by Brauer representations
• Perturbative 4D conformal field theories and representation theory of diagram algebras
• Large N anomalous dimensions for large operators in Leigh-Strassler deformed SYM