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2011

Young diagrams, Brauer algebras, and bubbling geometries

Kimura, Yusuke, Lin, Hai

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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.

Young diagrams, Brauer algebras, and bubbling geometries · Around

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