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Symmetry-resolved entanglement in AdS3/CFT2

Date:
Location:
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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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