Sep 15 – 18, 2014
Dept. of Physics and Astronomy
Europe/Rome timezone

Entanglement Entropy of non-Unitary Conformal Field Theory

Sep 17, 2014, 9:00 AM
1h
Aula Magna (Dept. of Physics and Astronomy)

Aula Magna

Dept. of Physics and Astronomy

A. Righi Building Via Irnerio 46, 40126 Bologna (Italy)
Plenary Talk Wednesday morning

Speaker

Dr Benjamin Doyon (King's College London)

Description

In this talk I will show that the entanglement entropy of a region of large size ℓ in a one-dimensional non-unitary critical model behaves as S∼(ceff/3)logℓ, where ceff=c−24Δ>0 is the effective central charge, c (which may be negative) is the central charge of the conformal field theory and Δ≤0 is the lowest holomorphic conformal dimension in the theory. This result generalize the well known expressions for unitary models. I will provide a general proof, as well as numerical evidence for a non-unitary spin chain (an analytical computation using the corner transfer matrix method for a non-unitary lattice model will be discussed by Davide Bianchini). I will show how a new algebraic technique can be used for studying the branching that arise within the replica approach, and find a new expression for the entanglement entropy in terms of correlation functions of twist fields that is valid for non-unitary models. This expression will be further generalized in Olalla Castro-Alvaredo's talk to the massive Yang-Lee model of integrable quantum field theory.

Primary author

Dr Benjamin Doyon (King's College London)

Presentation materials

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