Symmetry decomposition of relative entropies in conformal field theory

DOI10.1007/JHEP07(2021)084zbMATH Open1468.81091arXiv2104.03102OpenAlexW3139681839MaRDI QIDQ1981471

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Publication date: 3 September 2021

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Abstract: We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal $U(1)$ symmetry. We calculate various symmetry resolved R'enyi relative entropies between one interval reduced density matrices of CFT primary states using the replica method. By taking the replica limit, the symmetry resolved relative entropy can be obtained. We also take the XX spin chain model as a concrete lattice realization of this CFT to perform numerical computation. The CFT predictions are tested against exact numerical calculations finding perfect agreement.

Full work available at URL: https://arxiv.org/abs/2104.03102

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