Non-unitary conformal field theory and logarithmic operators for disordered systems

@article{Maassarani1997NonunitaryCF,
  title={Non-unitary conformal field theory and logarithmic operators for disordered systems},
  author={Ziad Maassarani and Didina Serban},
  journal={Nuclear Physics},
  year={1997},
  volume={489},
  pages={603-625}
}
We consider the supersymmetric approach to Gaussian disordered systems like the random bond Ising model and Dirac model with random mass and random potential. These models appeared in particular in the study of the integer quantum Hall transition. The supersymmetric approach reveals an osp(22)1 affine symmetry at the pure critical point. A similar symmetry should not hold at other fixed points. We apply methods of conformal field theory to determine the conformal weights at all levels. These… Expand
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