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Young diagrams, Brauer algebras, and bubbling geometries

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arxiv 1109.2585 v2 pith:IFDQ6LKH submitted 2011-09-12 hep-th gr-qc

Yusuke Kimura , Hai Lin This is my paper · ORCID
classification hep-thgr-qc
keywords geometriesbrauerdiagramsoperatorsyoungalgebraalgebrasanalyzing
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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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  1. Holography of quarter-BPS AdS bubbles

    hep-th 2025-12 conditional novelty 7.0 of 10

    The CFT state dual to quarter-BPS AdS bubbles is determined to quadratic order, explicitly containing the lightest quarter-BPS operator O1/4 with its subleading 1/N mixing.

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