Charge imbalance resolved R\'enyi negativity for free compact boson: Two disjoint interval case

• URL: http://arxiv.org/abs/2210.06743v1
• Date: Thu, 13 Oct 2022 05:13:41 GMT
• Title: Charge imbalance resolved R\'enyi negativity for free compact boson: Two disjoint interval case
• Authors: Himanshu Gaur and Urjit A. Yajnik
• Abstract summary: We study the symmetry decomposition of R'enyi negativity into charge imbalance sectors for 1+1 dimensional compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper we study the symmetry decomposition of R\'enyi negativity into charge imbalance sectors for 1+1 dimensional compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals. We obtain the multi-charged and charged R\'enyi negativity moments by computing the four point correlator of the flux generating vertex operators on the Riemann surface, we then obtain charge imbalance resolved R\'enyi negativity by taking the fourier transform of the charged moments. Finally, as numerical check we match our results against the tight binding model.

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