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arXiv · 1109.2585

Young diagrams, Brauer algebras, and bubbling geometries

Yusuke Kimura·Hai Lin
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Abstract

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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Yusuke Kimura, Hai Lin. 2011-12-29. Young diagrams, Brauer algebras, and bubbling geometries. https://doi.org/10.1007/jhep01(2012)121

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