Young diagrams, Brauer algebras, and bubbling geometries

Details Young diagrams, Brauer algebras, and bubbling geometries Young diagrams, Brauer algebras, and bubbling geometries

2011-09-12

arxiv.org/abs/1109.2585v2

JHEP 1201:121,2012

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 2 figures; journal version

Scientific paper

10.1007/JHEP01(2012)121

We study the 1/4 BPS geometries corresponding to the 1/4 BPS operators of the dual gauge theory side, in ${\cal N}=4$ 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.

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