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Yangian symmetry of the Y=0 maximal giant graviton

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Abstract

We study the remnants of Yangian symmetry of AdS/CFT magnons reflecting from boundaries with no degrees of freedom. We present the generalized twisted boundary Yangian of open strings ending on boundaries which preserve only a subalgebra \( \mathfrak{h} \) of the bulk algebra \( \mathfrak{g} \), where \( \left( {\mathfrak{g},\mathfrak{h}} \right) \) is a symmetric pair. This is realized by open strings ending on the D3 brane known as the Y = 0 maximal giant graviton in AdS 5 × S 5. We also consider the Yangian symmetry of the boundary which preserves an \( \mathfrak{s}\mathfrak{u}\left( {\left. 1 \right|2} \right) \) subalgebra only.

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Authors and Affiliations

  1. Department of Mathematics, University of York, Heslington, York, Y O10 5DD, U.K.

    Niall MacKay & Vidas Regelskis

  2. Vilnius University Institute of Theoretical Physics and Astronomy, Goštauto 12, Vilnius, 01108, Lithuania

    Vidas Regelskis

Authors
  1. Niall MacKay
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  2. Vidas Regelskis
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Correspondence to Vidas Regelskis.

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ArXiv ePrint: 1010.3761

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MacKay, N., Regelskis, V. Yangian symmetry of the Y=0 maximal giant graviton. J. High Energ. Phys. 2010, 76 (2010). https://doi.org/10.1007/JHEP12(2010)076

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