C_T for monodromy defects of fields on odd dimensional spheres for higher derivative propagation

2022/02/21 by J. S. Dowker, Dowker, J. S.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2202.10373

openalex publication_date 2022/02/21 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

The central charge C_T is computed for scalar and Dirac fields propagating according to GJMS-type kinetic operators acting on odd d-dimensional spheres in the presence of a spherical monodromy. The relation of C_T to the derivatives of the free energy on the conically deformed sphere via the Perlmutter factor leads to a numerical quadrature. The variation of C_T with the monodromy flux, δ, displays sign changes, exactly as in even dimensions. Closed forms for C_T are derived when δ equals 0 or 1/2 with the derivative order either even or odd and shown to agree with existing, even d expressions. The infinite d limits are also derived in these special cases.

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