******** CTCD/NTHU HEP Seminar ********

Speaker : Dr. Simon Lin (NYU Abu Dhabi)

Title ：Reflected entropy in Random Tensor Networks

Time ：12:30-13:30, Thursday, 2026/5/28

Place ：R521, 5F, General Building II, Nat'l Tsing Hua Univ.

Host ： Prof. Kingman Cheung (NTHU) & Prof. Norihiro Iizuka (NTHU)

Abstract:
Reflected entropy is a quantum informatic measure associated with the canonical purification, a generalization of the thermal field double. It is conjectured to be dual to twice the area of entanglement wedge cross-sections in holographic theories. In this talk, I will discuss our attempt to verify the conjecture in random tensor networks (RTNs), a toy model for AdS/CFT. I will show that analytical calculations can be performed for simple networks consisting of one or two random tensors. These results are exact in the sense that they sum up the non-perturbative effects that smooths out the sharp jump of the reflected entropy near phase transition. I will also provide evidence that the conjecture is true for arbitrary networks, using mathematical tools from the flow network and linear programming. Finally, I will discuss the implication of our results on the multi-partite entanglement structure in RTN and holography.