Entanglement entropy and $C_T$ for monodromy defects of fields on odd-dimensional spheres

J. S. Dowker

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arXiv · 2201.13358

Entanglement entropy and $C_T$ for monodromy defects of fields on odd-dimensional spheres

J. S. Dowker

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Abstract

The effect of a spherical monodromy defect on the entanglement entropy and central charge $C_T$ of a free conformal scalar field propagating on an odd-dimensional sphere is investigated. As on even spheres the central charge becomes negative for a range of the flux parameter, $\delta$, with possible implications for reflection positivity. The work is mostly numerical but closed forms are found for the $Z_2$ monodromy ($\delta=1/2$) yielding an explicit $d\to\infty$ limit, $C_T\to -6/\pi$

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J. S. Dowker. 2022-01-31. Entanglement entropy and $C_T$ for monodromy defects of fields on odd-dimensional spheres. https://arxiv.org/abs/2201.13358

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