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.
Symmetry-resolved entanglement in AdS3/CFT2
Date:
Location:
zoom
Speaker(s) / Presenter(s):
Suting Zhao (U. of Wurzburg)
Event Series: