= Free chiral Majorana fermion conformal field theory
{title2=$h_\psi=1/2,\quad c=1/2$}
A real chiral <Majorana fermion> with contraction $\psi(z)\psi(w)\sim1/(z-w)$ has stress tensor $T=-:\psi\partial\psi:/2$. Fermionic <Wick contractions> give $T(z)\psi(w)\sim\psi(w)/(2(z-w)^2)+\partial\psi(w)/(z-w)$. Double contractions in $TT$ give $1/(4(z-w)^4)$, so the <central charge> is $1/2$. Fermion bilinears of different species are weight-one currents; equal-species undifferentiated bilinears vanish by antisymmetry.
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