2017/06/05 by J. S. Dowker, Dowker, J. S.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1706.01369
openalex publication_date 2017/06/05 · openalex created_date 2017/06/15 · openalex updated_date 2026/07/28
General expressions for the Rényi entropies and central charges for higher derivative free spinors and scalars on even spheres are obtained using a direct spectral method on a compact lune division of the sphere. Formulae and numbers are rapidly obtained for any dimension and order of derivative. The relation between the conformal anomaly and the hyperbolic free energy is briefly explored using standard expansions. A field theoretic derivation of the central charge formula for higher derivative scalars in any (even) dimension, given by Osborn and Stergiou and by Gliozzi \it et al, is thereby provided. The corresponding extension to spinors is made. Generalised Bernoulli polynomials play an important technical role.