Struggling my way through Conformal Field Theory before getting into strin theory I stumbled upon the following quantum mechanical relation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \delta_{\epsilon} \phi (z, \bar{z}) = [Q_{\epsilon}, \phi (z, \bar{z})[/tex]

Thus some conformal transformation in the field (with parameter epsilon) is equal to the commutator of the associated conserved charge with this field. It reminded me of the relation in QM of the time dependence of an operator and its relation to the commutator with the Hamiltonian.

Can somebody tell me how the above relation is founded in QM/Noethers theorem/CFT ?

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# CFT charge/transformation question

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