Supersymmetric conformal field theories from quantum stabilizer codes

• URL: http://arxiv.org/abs/2307.14602v2
• Date: Thu, 3 Aug 2023 07:53:48 GMT
• Title: Supersymmetric conformal field theories from quantum stabilizer codes
• Authors: Kohki Kawabata, Tatsuma Nishioka and Takuya Okuda
• Abstract summary: We search for fermionic conformal field theories with supersymmetry by focusing on quantum stabilizer codes of the Calderbank-Shor-Steane type. Our work constitutes a new application of quantum codes and paves the way for the methodical search for supersymmetric CFTs.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\mathcal{N} =4$ 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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