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We provide numerical evidence that the low-lying part of the entanglementspectrum of a real-space block (i.e. a single interval) of a one-dimensionalquantum many body system at a conformal critical point corresponds to theenergy spectrum of a boundary conformal field theory (CFT). This correspondenceallows to uncover a subset of the operator content of a conformal field theoryby inspection of the entanglement spectrum of a single wave function, thusproviding important information on a CFT beyond its central charge. As apractical application we show that for many systems described by a compactifiedboson CFT, one can infer the compactification radius (governing e.g. the powerlaw decay of correlation functions) of the theory in a simple way based on theentanglement spectrum.

Operator content of real-space entanglement spectra at conformal critical points