Modular invariance, tauberian theorems and microcanonical entropy

Abstract We analyze modular invariance drawing inspiration from tauberian theorems. Given a modular invariant partition function with a positive spectral density, we derive lower and upper bounds on the number of operators within a given energy interval. They are most revealing at high energies. In...

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Bibliographic Details
Main Authors: Baur Mukhametzhanov, Alexander Zhiboedav
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)261