Quantum Information Theory of Gravitational Anomaly

This lecture explores the relationship between quantum information theory and quantum gravity, focusing on the entanglement entropy and tensor factorization in quantum field theories. It discusses the challenges of regularization, the ill-definition of tensor factorization in 2D CFTs with a gravitational anomaly, and the implications for UV-complete gravity consistency conditions. The lecture also delves into the high-temperature modular Hamiltonian, boundary conditions, and the computation of Renyi entanglement entropy. It concludes by highlighting the inconsistency of truncation methods and proposing future research directions in odd-dimensional generalization, string theory, and the resolution of the orbifold point.