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Young diagrams, Brauer algebras, and bubbling geometries

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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 \( \mathcal{N} = {4} \) 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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Authors and Affiliations

  1. Departamento de Fisica, Universidad de Oviedo, 33007, Oviedo, Spain

    Yusuke Kimura

  2. Department of Particle Physics, Facultad de Fisica, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Hai Lin

Authors
  1. Yusuke Kimura
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  2. Hai Lin
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Correspondence to Hai Lin.

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ArXiv ePrint: 1109.2585

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Kimura, Y., Lin, H. Young diagrams, Brauer algebras, and bubbling geometries. J. High Energ. Phys. 2012, 121 (2012). https://doi.org/10.1007/JHEP01(2012)121

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  • DOI: https://doi.org/10.1007/JHEP01(2012)121

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