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Disordered Vector Models: From Higher Spins to Incipient Strings

Chi-Ming Chang Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Beijing, 101408, China Sean Colin-Ellerin Center for Quantum Mathematics and Physics (QMAP), Department of Physics and Astronomy, University of California, Davis, California 95616, USA Cheng Peng Kavli Institute for Theoretical Sciences (KITS), University of Chinese Academy of Sciences, Beijing 100190, China Mukund Rangamani Center for Quantum Mathematics and Physics (QMAP), Department of Physics and Astronomy, University of California, Davis, California 95616, USA

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74024

Physical Review Letters, 129, (011603), 2022.6
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 toward a theory with a classical string dual. We analyze the spectrum and operator product expansion data of the theories. While the supersymmetric model is always well-behaved the nonsupersymmetric 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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@inproceedings{chi-ming2022disordered,
  title={Disordered Vector Models: From Higher Spins to Incipient Strings},
  author={Chi-Ming Chang, Sean Colin-Ellerin, Cheng Peng, and Mukund Rangamani},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702145017923154520},
  booktitle={Physical Review Letters},
  volume={129},
  number={011603},
  year={2022},
}
Chi-Ming Chang, Sean Colin-Ellerin, Cheng Peng, and Mukund Rangamani. Disordered Vector Models: From Higher Spins to Incipient Strings. 2022. Vol. 129. In Physical Review Letters. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702145017923154520.
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