Charged Rényi negativity of massless free bosons

Charged Rényi negativity of massless free bosons
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DOI:
10.1007/jhep02(2022)117
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发表时间:
2022
期刊:
Journal of High Energy Physics
影响因子:
--
通讯作者:
Hui-Huang Chen
Hui-Huang Chen
中科院分区:
--
文献类型:
--
作者:
Hui-Huang Chen

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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.