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Symmetry-resolved entanglement in AdS3/CFT2

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Speaker(s) / Presenter(s):
Suting Zhao (U. of Wurzburg)

For a QFT with U(1) global symmetry, a resolution of the reduced 
density matrix via the U(1) subregion-charge defined on the entangled 
region is allowed. This indicates the existence of a refinement of the 
usual entanglement entropy, which is the so-called "Symmetry-resolved 
entanglement entropy(SREE)". In this talk, I will discuss the 
symmetry-resolved entanglement in the context of AdS3/CFT2. I will 
start from a toy holographic model: Three-dimensional U(1) 
Chern-Simons Einstein gravity. The calculations of the SREE rely on 
the CFT charged moments. I will show that the holographic dual of the 
CFT charged moments can be simpily realized by inserting a U(1) Wilson 
line inside the bulk, with its holonomy being identified with the 
monodromy generated by the boundary vertex operators. The resulting 
U(1) SREE exhibits a universal equipartition behavior of the 
entanglement. I will also discuss our recent progress on the two 
disjoint intervals case and the generalization of SREE in higher spin 
symmetry case, i.e W3 CFT and holographic higher spin-3 gravity.

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