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  • Letter
  • Open Access

Supersymmetric conformal field theories from quantum stabilizer codes

Kohki Kawabata1,2, Tatsuma Nishioka2, and Takuya Okuda3

  • 1Department of Physics, Faculty of Science, The University of Tokyo, Bunkyo-Ku, Tokyo 113-0033, Japan
  • 2Department of Physics, Osaka University, Machikaneyama-Cho 1-1, Toyonaka 560-0043, Japan
  • 3Graduate School of Arts and Sciences, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan

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Phys. Rev. D 108, L081901 – Published 18 October, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L081901

Abstract

We construct fermionic conformal field theories (CFTs) whose spectra are characterized by quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with supersymmetry by focusing on quantum stabilizer codes of the Calderbank-Shor-Steane type, and derive simple criteria for the theories to be supersymmetric. We provide several examples of fermionic CFTs that meet the criteria, and find quantum codes that realize N=4 supersymmetry. Our work constitutes a new application of quantum codes and paves the way for the methodical search for supersymmetric CFTs.

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Phys. Rev. D 108, L081901– Published 18 October, 2023
  • Received 16 April 2023
  • Accepted 28 July 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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