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CFT from EFT at large charge

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If you have a question about this talk, please contact David Marsh .

Properties of CFT operators carrying some large global charge can be systematically computed in a 1/Q expansion under the plausible assumption that the corresponding states on the cylinder are described by a superfluid phase. In particular one can compute the spectrum of such “heavy” operators and the heavy-heavy-light fusion coefficients. The key to computational control is the effective field theory for the superfluid phase. This is universally described by a goldstone boson in a systematic derivative expansion, which in CFT precisely corresponds to the 1/Q expansion. Furthermore, if the superfluid supports vortex excitations as it normally happens, one can derive properties of the operators carrying both large charge and large spin.

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