Abstract

In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the form factor bootstrap method, we show that topological defects do not affect the the entanglement entropy in the UV limit and modify slightly the leading exponential correction in the IR. This conclusion holds for both unitary and non-unitary field theories. In contrast, non-topological defects affect the entanglement entropy more significantly both in UV and IR limit and will be studied in the companion paper.

Highlights

  • The authors studied entanglement entropy in the context of integrable field theories using the form factor bootstrap approach

  • In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions

  • Using the form factor bootstrap method, we show that topological defects do not affect the the entanglement entropy in the UV limit and modify slightly the leading exponential correction in the IR

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Summary

Line defects in integrable field theories

We review line defects in integrable field theories. Our discussion mainly follows the seminal papers [16, 17] and [18, 40].

Line defects
Defect algebra
Correlation functions
Entanglement entropy in the presence of a line defect
Replica trick
Spectral expansion and form factors of branch-point twist fields
UV limit
Unitary case
Non-unitary case: scaling Lee-Yang model
Defect scaling Lee-Yang model
Replica trick and entanglement entropy
Form factors and defect matrix elements
Spectral expansion and entanglement entropy
Conclusions
Full Text
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