Speaker
Dr
Lorenzo Bianchi
(Universität Hamburg)
Description
After introducing the concept of Rényi entropy, we develop a field theoretic framework for calculating its dependence on the shape of the entangling surface in a conformal field theory. Our approach rests on regarding the corresponding twist operator as a conformal defect. We propose a simple constraint between the coefficient defining the two-point function of the displacement operator and the conformal weight of the twist operator, which consolidates a number of distinct conjectures on the shape dependence of the Rényi entropy. To conclude we give an explicit example for the free scalar in 4d and we comment on a recent holographic discrepancy.
Primary author
Dr
Lorenzo Bianchi
(Universität Hamburg)
