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Multi-charged moments of two intervals in conformal field theory
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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 R\'enyi 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.
Forward citations
Cited by 2 Pith papers
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On symmetry-resolved generalized entropies
A new framework computes generalized charged moments and symmetry-resolved Rényi entropies for arbitrary excited states of the free compact boson CFT, benchmarked against the XX chain.
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Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
For a mass quench in the Ising field theory, the Z2-resolved Rényi entropies grow linearly at the same rate as the total entropy, with subleading oscillatory corrections now computed analytically via composite twist fields.
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