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Rényi entropy and conformal defects

Articolo
Data di Pubblicazione:
2016
Abstract:
We propose a field theoretic framework for calculating the dependence of Rényi entropies 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 and in particular, we define the displacement operator which implements small local deformations of the entangling surface. We identify 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. As an example, using this approach, we examine a conjecture regarding the universal coefficient associated with a conical singularity in the entangling surface for CFTs in any number of spacetime dimensions. We also provide a general formula for the second order variation of the Rényi entropy arising from small deformations of a spherical entangling surface, extending Mezei’s results for the entanglement entropy.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Anomalies in Field and String Theories; Conformal and W Symmetry; Space-Time Symmetries; Spacetime Singularities
Elenco autori:
Bianchi L.; Meineri M.; Myers R.C.; Smolkin M.
Autori di Ateneo:
BIANCHI Lorenzo
MEINERI Marco
Link alla scheda completa:
https://iris.unito.it/handle/2318/1849056
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1849056/962218/Bianchi2016_Article_R%E9nyiEntropyAndConformalDefect.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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