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Charged Rényi negativity of massless free bosons.

Authors :
Chen, Hui-Huang
Source :
Journal of High Energy Physics. Feb2022, Vol. 2022 Issue 2, p1-27. 27p.
Publication Year :
2022

Abstract

In this paper, we consider the computation of charged moments of the reduced density matrix of two disjoint intervals in the 1+1 dimensional free compactified boson conformal field theory (CFT) by studying the four-point function of the fluxed twist fields. We obtained the exact scaling function of this four-point function and discussed its decompactification limit. This scaling function was used to obtain the charged moments of the partial transpose which we refer as charged Rényi negativity. These charged moments and the charged moments of the partial transpose are essential for the problem of symmetry decomposition of the corresponding entanglement measures. We test our analytic formula against exact numerical computation in the complex harmonic chain, finding perfect agreements. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
11266708
Volume :
2022
Issue :
2
Database :
Academic Search Index
Journal :
Journal of High Energy Physics
Publication Type :
Academic Journal
Accession number :
155883914
Full Text :
https://doi.org/10.1007/JHEP02(2022)117