Entanglement and Holographic States in Chern-Simons Theory

Explore entanglement and holographic states in Chern-Simons theory through this 55-minute conference talk by Dmitry Melnikov from the International Institute of Physics – UFRN. Delivered as part of the "Holography@ 25" workshop held from June 14-17, 2023, at ICTP-SAIFR, delve into topics such as Wilson lines, entanglement classification, quantum corrections, and the information paradox. Gain insights into complex topology, nonperturbative states, and quantum teleportation while examining the connections between Jones polynomials, entanglement entropy, and the Page curve. Uncover the intricacies of Chern-Simons theory and its applications in understanding holographic states and entanglement properties.

Introduction
Outline
ChernSimons Theory
scale relation
what is entanglement
Wilson lines
Entanglement classification
Projection
Triplet of qubits
Entanglement entropy
Complex topology
Quantum corrections
Nonperturbative states
Entanglement properties
Examples
Quantum teleportation
Information Paradox
Diagram of evaporation
Summary
Page curve
Jones polynomials
Coefficients
Entanglement
Island