A 3d disordered superconformal fixed point

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 & Astronomy, University of California, Davis, CA 95616 U.S.A. Cheng Peng Kavli Institute for Theoretical Sciences (KITS) and CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China Mukund Rangamani Center for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of California, Davis, CA 95616 U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74023

Journal of High Energy Physics, 2021, (211), 2021.11
We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a N = 2 large N Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lower dimensional SYK like models we demonstrate that the theory flows to a strongly coupled superconformal fixed point in the infra-red. In particular, we obtain leading large N spectral data and operator product coefficients at the critical point. Moreover, the analytic control accorded by the model allows us to compare our results against those derived in the conformal bootstrap program and demonstrate consistency with general expectations.
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@inproceedings{chi-ming2021a,
  title={A 3d disordered superconformal fixed point},
  author={Chi-Ming Chang, Sean Colin-Ellerin, Cheng Peng, and Mukund Rangamani},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702144610273106519},
  booktitle={Journal of High Energy Physics},
  volume={2021},
  number={211},
  year={2021},
}
Chi-Ming Chang, Sean Colin-Ellerin, Cheng Peng, and Mukund Rangamani. A 3d disordered superconformal fixed point. 2021. Vol. 2021. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702144610273106519.
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