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Critical properties of quantum Hall systems are affected by the presence ofextra edge channels - present, in particular, at higher plateau transitions. Westudy this phenomenon for the case of the spin quantum Hall transition. Usingsupersymmetry we map the corresponding network model to a classical loop model,whose boundary critical behavior was recently determined exactly. We verifypredictions of the exact solution by extensive numerical simulations.

Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels