Supersymmetric conformal field theories from quantum stabilizer codes
High Energy Physics - Theory
2023-08-04 v2 Statistical Mechanics
Quantum Physics
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 supersymmetry. Our work constitutes a new application of quantum codes and paves the way for the methodical search for supersymmetric CFTs.
Cite
@article{arxiv.2307.14602,
title = {Supersymmetric conformal field theories from quantum stabilizer codes},
author = {Kohki Kawabata and Tatsuma Nishioka and Takuya Okuda},
journal= {arXiv preprint arXiv:2307.14602},
year = {2023}
}
Comments
7 pages; v2: references added