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We report a throughout analysis of the entanglement entropies related todifferent symmetry sectors in the low-lying primary excited states of aconformal field theory (CFT) with an internal U(1) symmetry. Our findingsextend recent results for the ground state. We derive a general expression forthe charged moments, i.e. the generalised cumulant generating function, whichcan be written in terms of correlation functions of the operator that definethe state through the CFT operator-state correspondence. We provide explicitanalytic computations for the compact boson CFT (aka Luttinger liquid) for thevertex and derivative excitations. The Fourier transform of the charged momentsgives the desired symmetry resolved entropies. At the leading order, theysatisfy entanglement equipartition, as in the ground state, but we find, withinCFT, subleading terms that break it. Our analytical findings are checkedagainst free fermions calculations on a lattice, finding excellent agreement.As a byproduct, we have exact results for the full counting statistics of theU(1) charge in the considered excited states.

Symmetry resolved entanglement entropy of excited states in a CFT