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Disordered vector models: from higher spins to incipient strings

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arxiv 2112.09157 v2 pith:FCA3JDX7 submitted 2021-12-16 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords highermodelclassicaldisorderedduallargemodelsspins
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a one-parameter family of large $N$ disordered models, with and without supersymmetry, in three spacetime dimensions. They interpolate from the critical large $N$ vector model dual to a classical higher spin theory, towards a theory with a classical string dual. We analyze the spectrum and OPE data of the theories. While the supersymmetric model is always well-behaved the non-supersymmetric model is unitary only over a small parameter range. We offer some speculations on the origin of strings from the higher spins.

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Cited by 3 Pith papers

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

  1. $F$-extremization determines certain large-$N$ CFTs

    hep-th 2024-12 conditional novelty 7.0 of 10

    Melonic large-N CFTs are exactly the conformal mean field theories that extremize the universal part of the sphere free energy under linear IR marginality constraints.

  2. Thermal two-point functions in SYK and complex-time singularities

    hep-th 2026-07 conditional novelty 6.0 of 10

    The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.

  3. $E$ and $J$ type $\mathcal{N}=(0,2)$ disordered models and higher-spin symmetry

    hep-th 2026-01 conditional novelty 6.0 of 10

    The E-type N=(0,2) disordered model is dynamically equivalent to the J-type model in the IR, inheriting its emergent higher-spin symmetry.

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