A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.
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Disturbing news about the $d=2+\epsilon$ expansion
A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.