4–7 Sept 2023
Dept. of Physics and Astronomy - University of Bologna
Europe/Rome timezone

Entanglement along a massless flow: the tricritical Ising model

4 Sept 2023, 17:10
10m
Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

Aula Magna

Dept. of Physics and Astronomy - University of Bologna

Via Irnerio 46 - 40126 Bologna, Italy
10 min Talk + Poster Gong Session for Posters

Speaker

Federico Rottoli (SISSA)

Description

In recent decades, the study of entanglement has attracted interest in several areas. In particular, in conformal field theories, the entanglement entropy of an interval is known to grow logarithmically with the size of the system, proportional to the central charge of the CFT.
On the other hand, CFTs describe the fixed points of the renormalization group flow. It is therefore interesting to study how entanglement varies as we move along a renormalization group, interpolating between two different CFTs.
In this work we study the entanglement entropy of an interval in the integrable massless renormalization flow connecting the UV tricritical and the IR critical Ising CFTs. We compute the form factors of twist fields along the flow and we find the first correction to the IR entanglement entropy. Near the IR, the massless flow is described by a $T\bar{T}$ deformation of the Ising CFT and we recover the predicted fuctional form for a $T\bar{T}$ deformed CFT.

Primary author

Presentation materials