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

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 $\ensuremath{-}19$. 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 is made.