Complete classification of finite-rank conformal Hamiltonians in 1d CFTs shows correlation functions are homogeneous polynomials of geometric data governed by one-dimensional Ward identities.
[Mne25] Pavel Mnev.Lecture notes on conformal field theory
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Finite-rank conformal quantum mechanics
Complete classification of finite-rank conformal Hamiltonians in 1d CFTs shows correlation functions are homogeneous polynomials of geometric data governed by one-dimensional Ward identities.