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Multi-charged moments of two intervals in conformal field theory

Filiberto AresPasquale CalabreseGiuseppe Di GiulioSara Murciano
Jun 2022
摘要
We study the multi-charged moments for two disjoint intervals in the groundstate 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 (Luttingerliquid). For this purpose, we compute the partition function on the highergenus Riemann surface arising from the replica method in the presence ofbackground magnetic fluxes between the sheets of the surface. We consider thegeneral situation in which the fluxes generate different twisted boundaryconditions at each branch point. The obtained multi-charged moments allow us toderive the symmetry resolution of the R\'enyi entanglement entropies and themutual information for non complementary bipartitions. We check our findingsagainst exact numerical results for the tight-binding model, which is a latticerealisation of the massless Dirac theory.
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