Title	Entanglement of disjoint intervals in CFT and Riemann surfaces
Creator	Tonni, Erik
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-09-06T13:30
Description	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.
Extent	50.0
Subject	Mathematics; Partial differential equations; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: SISSA
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376892
URI	http://hdl.handle.net/2429/68726
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Entanglement of disjoint intervals in CFT and Riemann surfaces Tonni, Erik

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