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

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.

7 pages, 1 figure. Minor changes and corrections. Reference added. Final comment expanded

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