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Young diagrams, Brauer algebras, and bubbling geometries
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Young diagrams, Brauer algebras, and bubbling geometries
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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.
Forward citations
Cited by 2 Pith papers
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Holography of quarter-BPS AdS bubbles
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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(Un)solvable Matrix Models for BPS Correlators
Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to kno...
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