Non UBC
DSpace
Tonni, Erik
2019-03-14T05:05:51Z
2018-09-06T13:30
In the context of two dimensional conformal field theories (CFT), we review some analytical results describing the entanglement of disjoint intervals. In particular, we consider the Renyi entropies and on the moments of the partial transpose, which provide respectively the entanglement entropy and the logarithmic negativity through some replica limits. These analytic expressions are obtained as the partition function of the CFT model on some particular singular higher genus Riemann surfaces constructed through the replica method. For simple models like the compactified free boson and the Ising model, explicit expressions in terms of Riemann theta functions are presented.
Numerical calculations on different lattice models which support the analytic results are also discussed.
https://circle.library.ubc.ca/rest/handle/2429/68726?expand=metadata
50.0
video/mp4
Author affiliation: SISSA
Banff (Alta.)
10.14288/1.0376892
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial differential equations
Algebraic geometry
Dynamical systems
Entanglement of disjoint intervals in CFT and Riemann surfaces
Moving Image
http://hdl.handle.net/2429/68726