Conformal anomalies on Einstein spaces with Boundary

TL;DR

This paper corrects previous errors in calculating conformal anomalies for various fields on Einstein spaces with boundary, revealing deeper structural identities through explicit computations.

Contribution

It provides corrected calculations of conformal anomalies for antisymmetric tensor fields and fermions on Einstein spaces with boundary, uncovering new identities.

Findings

Corrected anomalous rescaling formulas for gauge bosons and fermions.

Discovery of identities indicating a deeper structural framework.

Enhanced understanding of anomalies in Einstein spaces with boundary.

Abstract

The anomalous rescaling for antisymmetric tensor fields, including gauge bosons, and Dirac fermions on Einstein spaces with boundary has been prone to errors and these are corrected here. The explicit calculations lead to some interesting identities that indicate a deeper underlying structure.