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arXiv · 2112.09157

Disordered vector models: from higher spins to incipient strings

Chi-Ming Chang·Sean Colin-Ellerin·Cheng Peng·Mukund Rangamani
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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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Chi-Ming Chang, Sean Colin-Ellerin, Cheng Peng, Mukund Rangamani. 2021-12-16. Disordered vector models: from higher spins to incipient strings. https://doi.org/10.1103/physrevlett.129.011603

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