Renyi entropy for monodromy defects of higher derivative free fields on even-dimensional spheres

TL;DR

This paper derives explicit formulas for Rènyi and entanglement entropies involving monodromy defects in higher-derivative free fields on even-dimensional spheres, also calculating the central charge and comparing with existing results.

Contribution

It provides new explicit polynomial forms for entropies and central charge calculations for higher-derivative fields with monodromy defects on spheres, extending previous results.

Findings

Explicit polynomial formulas for Rènyi and entanglement entropies

Calculation of the central charge $C_T$ for these fields

Comparison showing how existing results can be derived from these formulas

Abstract

Explicit polynomial forms for R\'enyi and entanglement entropies are given on even --dimensional spheres which possess a codimension--2 U(1) monodromy defect. Free scalar and Dirac fields are treated and higher-derivative propagation operators employed. The central charge, $C_T$, is also calculated. Comparison with existing results is made and it is shown how these can be obtained from the values here.