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A Spin Chain for the Symmetric Product CFT_2

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arxiv 0912.0959 v1 pith:MPEE6M4Q submitted 2009-12-07 hep-th

classification hep-th
keywords orbifoldcalculationschainoperatorspointproductspinsymmetric
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider "gauge invariant" operators in Sym^N T^4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T^4 target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point ("tree level"), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold ("one loop").

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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. AdS$_3\times$S$^3$ magnons in the symmetric orbifold

    hep-th 2024-12 conditional novelty 7.0 of 10

    The AdS3 × S3 magnons are identified with 'long' collective eigenstates of the perturbed symmetric orbifold, matching the BMN dispersion relation from the CFT side.

  2. The Triplet Perturbation of the Symmetric Orbifold

    hep-th 2025-09 conditional novelty 6.0 of 10

    The triplet perturbation of the T4 symmetric orbifold is shown to preserve the same integrable structure as the singlet and is identified with the self-dual R-R 2-form modulus in AdS3/CFT2.

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