Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case

Abstract

In this paper, we study the symmetry decomposition of Rényi negativity into charge imbalance sectors for the 1+1 dimensional free compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals. We obtain multi-charged and charged Rényi negativity moments by computing the four-point correlator of flux-generating vertex operators on the Riemann surface. We then obtain charge imbalance resolved Rényi negativity by taking the Fourier transform of the charged moments. Finally, we match our results against the tight-binding model as a numerical check.

v2, 27 pages, 9 figures. New references added. Accepted for publication in JHEP

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• Total and Symmetry resolved Entanglement spectra in some Fermionic CFTs from the BCFT approach
• A universal approach to Renyi entropy of multiple disjoint intervals
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