Multi-charged moments of two intervals in conformal field theory

Abstract

We study the multi-charged moments for two disjoint intervals in the ground state of two $1+1$ dimensional CFTs with central charge $c=1$ and global $U(1)$ symmetry: the massless Dirac field theory and the compact boson (Luttinger liquid). For this purpose, we compute the partition function on the higher genus Riemann surface arising from the replica method in the presence of background magnetic fluxes between the sheets of the surface. We consider the general situation in which the fluxes generate different twisted boundary conditions at each branch point. The obtained multi-charged moments allow us to derive the symmetry resolution of the Rényi entanglement entropies and the mutual information for non complementary bipartitions. We check our findings against exact numerical results for the tight-binding model, which is a lattice realisation of the massless Dirac theory.

36 pages, 7 figures. Typos corrected, references added. Final version published in JHEP

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• Entanglement resolution of free Dirac fermions on a torus
• Page curve and symmetries
• Universal entanglement and correlation measure in two-dimensional conformal field theories
• Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• On symmetry-resolved generalized entropies