Title

"Quantum dimension as Entanglement Entropy in 2D CFTs"

Speaker

Kento Watanabe (YITP)

Abstract

We study entanglement entropy of excited states obtained by acting primary operators on a vacuum in 2d CFTs(conformal field theories). We show that the entanglement entropy increases by a finite constant under its time evolution. This means that the amount of increase is the topological contribution from the primary operator and this is expected to be an useful quantity to characterize the operator. We also show that in rational CFTs this quantity concides with the log of quantum dimension of the primary operator.

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