Young diagrams, Brauer algebras, and bubbling geometries

Abstract

We study the 1/4 BPS geometries corresponding to the 1/4 BPS operators of the dual gauge theory side, in $\mathcal{N}=4$ SYM. By analyzing asymptotic structure and flux integration of the geometries, we present a mapping between droplet configurations arising from the geometries and Young diagrams of the Brauer algebra. In particular, the integer $k$ classifying the operators in the Brauer basis is mapped to the mixing between the two angular directions.

40 pages, 2 figures; journal version

References in corpus (10)

• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Nonplanar Integrability
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Surprisingly Simple Spectra
• Brane webs and 1/4-BPS geometries
• From counting to construction of BPS states in N=4 SYM
• Cut-and-join operators and N=4 super Yang-Mills
• Quarter BPS classified by Brauer algebra
• Strings on Bubbling Geometries

Cited by in corpus (8)

• Quivers as Calculators: Counting, Correlators and Riemann Surfaces
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons
• Anomalous Dimensions of Heavy Operators from Magnon Energies
• Relation between large dimension operators and oscillator algebra of Young diagrams
• Finite N Quiver Gauge Theory
• Interior analysis, stretched technique and bubbling geometries
• Non-planar operator mixing by Brauer representations