Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field

TL;DR

This paper calculates the gravitational chiral anomaly in an extended spin 3/2 field theory interacting with a spin 1/2 field, revealing a unique anomaly factor of -19 and confirming conformality at one-loop level.

Contribution

It introduces a novel calculation of the gravitational chiral anomaly in the RSA theory with spin 1/2 interaction, highlighting its distinct anomaly factor and conformality properties.

Findings

Anomaly factor normalized to Dirac field is -19.

RSA theory's conformality verified at one-loop level.

Distinct anomaly signature differentiates RSA from other spin 3/2 theories.

Abstract

The gravitational chiral quantum anomaly is calculated in the framework of the extended Rarita-Schwinger-Adler (RSA) field theory, which includes the interaction with an additional spin 1/2 field. It is shown that the factor in the gravitational chiral anomaly, normalized to the Dirac field anomaly, is equal to -19. The resulting value distinguishes the RSA theory from the other theories of spin 3/2. A direct verification of the conformality of the RSA theory in the strong interaction limit at the level of one-loop three-point graphs was made.