Sparseness bounds on local operators in holographic CFT d

Abstract We use the thermodynamics of anti-de Sitter gravity to derive sparseness bounds on the spectrum of local operators in holographic conformal field theories. The simplest such bound is ρΔ≲exp2πΔd−1 $$ \rho \left(\varDelta \right)\lesssim \exp \left(\frac{2\pi \Delta}{d-1}\right) $$ for CFT d...

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Bibliographic Details
Main Authors: Eric Mefford, Edgar Shaghoulian, Milind Shyani
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2018)051