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

2022/01/31 by J. S. Dowker, Dowker, J. S.
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2201.13358

openalex publication_date 2022/01/31 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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, δ, with possible implications for reflection positivity. The work is mostly numerical but closed forms are found for the Z₂ monodromy (δ=1/2) yielding an explicit d→∞ limit, C_T→ -6/π

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