Subsystem Entropy in 2d CFT and the Diagonal Approximation - Anatoly Dymarsky

00:00 - Talk
01:10:50 - Questions

In this week's seminar, we are delighted to host Anatoly Dymarsky from the University of Kentucky.

Title: Subsystem Entropy in 2d CFT and the Diagonal Approximation

Abstract:

Entanglement entropy is a key quantity in quantum many-body physics, yet its computation remains challenging outside of special cases. In this talk, I will present a method based on the diagonal approximation, rooted in the subsystem Eigenstate Thermalization Hypothesis (ETH), for evaluating the entanglement entropy of excited states and thermal ensembles in the large-subsystem limit. Applying this framework to two-dimensional conformal field theories (2D CFTs), we show that it reproduces known results for canonical and microcanonical ensembles and individual primary states, while also yielding new predictions for KdV generalized Gibbs ensembles. Our approach resolves tensions between explicit CFT computations and ETH expectations, providing indirect support for the generalized ETH in 2D CFTs.

#ETH #CFT #subsystem #entropy #conformalfieldtheory #KdV #theoreticalphysics #seminar

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