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The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring

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arxiv hep-th/0609157 v1 pith:6ZBDJPN2 submitted 2006-09-22 hep-th

Gleb Arutyunov , Sergey Frolov , Jan Plefka , Marija Zamaklar This is my paper · ORCID
classification hep-th
keywords light-conealgebragaugelevel-matchingoff-shellsuperstringsymmetrytheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.

  2. Thermodynamics of integrable N=2 theories, squared

    hep-th 2025-02 conditional novelty 6.0 of 10

    The FPS model's massive sector has UV central charge c=6(1-1/k), its massless sectors contribute c=N_0+2, so doubling the supersymmetry does not double the central charge.

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