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arXiv · 2512.05545

On the Weyl anomaly for chiral fermions

Enrique Alvarez·Luis Alvarez-Gaume·Jesus Anero·Carmelo P Martin
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Abstract

We compute the parity-odd part of the Weyl anomaly for chiral fermions in a background gravitational field. We start from a manifestly real form of the Lagrangian (that is, not only real up to a total derivative), and we regularize it by means of Pauli-Villars fermions. All parity-odd terms in the anomaly cancel in the integrand, so that the result of the anomaly is necessarily parity-even.

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Enrique Alvarez, Luis Alvarez-Gaume, Jesus Anero, Carmelo P Martin. 2026-02-26. On the Weyl anomaly for chiral fermions. https://arxiv.org/abs/2512.05545

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