Renyi entropy for spherical monodromy of free scalar fields in even dimensions

2021/12/16 by J. S. Dowker, Dowker, J. S.
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2112.09031

Abstract

The effect of a co--dimension--2 spherical monodromy defect on the free--field theory of a conformal scalar is investigated. The conformal anomaly is computed (in two ways) and thence the Rényi and entanglement entropies. The C_T central charge is found to be negative for a range of monodromy flux.The calculations are pursued for any even dimensional sphere. A Possible conflict with existing results is raised.

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