Effective actions with fixed points, (error in derivation of coefficient corrected)

TL;DR

This paper investigates the heat-kernel expansion on axially-symmetric spaces with conical singularities to determine the conformal change of the effective action in four dimensions, providing a corrected derivation of key coefficients.

Contribution

It offers a new derivation of the heat-kernel coefficient related to fixed points and corrects previous errors in its calculation.

Findings

Derived the asymptotic expansion of the heat-kernel on spaces with conical singularities.

Determined the conformal change of the effective action in four dimensions.

Provided a corrected calculation of the relevant heat-kernel coefficient.

Abstract

The specific form of the constant term in the asymptotic expansion of the heat-kernel on an axially-symmetric space with a codimension two fixed-point set of conical singularities is used to determine the associated conformal change of the effective action in four dimensions. Another derivation of the relevant coefficient is presented.