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Marginal deformations and the Higgs phenomenon in higher spin AdS3 holography

  • Regular Article - Theoretical Physics
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  • Published: 23 July 2015
  • volume 2015, Article number: 125 (2015)
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Marginal deformations and the Higgs phenomenon in higher spin AdS3 holography
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  • Yasuaki Hikida1 &
  • Peter B. Rønne2 

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  • 21 Citations

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A preprint version of the article is available at arXiv.

Abstract

Recently, a 2d coset model with \( \mathcal{N}=3 \) superconformal symmetry was pro-posed to be holographic dual to a higher spin supergravity on AdS3 and the relation to superstring theory was discussed. However, away from the tensionless limit, there is no higher spin symmetry and the higher spin states are massive. In this paper, we examine the deformations of the coset model which preserve \( \mathcal{N}=3 \) superconformal symmetry, but break generic higher spin symmetry. We focus on double-trace type deformations which are dual to changes of boundary conditions for the bulk matter fields. In the bulk theory, the symmetry breaking will generate mass for the higher spin fields. As a concrete example, we compute the Higgs mass of a spin 2 field both from the bulk and the boundary theory.

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Authors and Affiliations

  1. Department of Physics, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima, Tokyo, 171-8501, Japan

    Yasuaki Hikida

  2. University of Luxembourg, Mathematics Research Unit, FSTC, Campus Kirchberg, 6, rue Coudenhove-Kalergi, L-1359, Luxembourg-Kirchberg, Luxembourg

    Peter B. Rønne

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  1. Yasuaki Hikida
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Correspondence to Peter B. Rønne.

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ArXiv ePrint: 1503.03870

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Hikida, Y., Rønne, P.B. Marginal deformations and the Higgs phenomenon in higher spin AdS3 holography. J. High Energ. Phys. 2015, 125 (2015). https://doi.org/10.1007/JHEP07(2015)125

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  • Received: 06 April 2015

  • Accepted: 03 July 2015

  • Published: 23 July 2015

  • DOI: https://doi.org/10.1007/JHEP07(2015)125

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Keywords

  • Higher Spin Symmetry
  • AdS-CFT Correspondence
  • Conformal and W Symmetry
  • Extended Supersymmetry
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