Conformal Invariance for a Class of Scale Invariant Theories in Four Dimensions

Abstract

For a four dimensional, unitary, diffeomorphism- and scale invariant quantum field theory without higher derivatives and a well defined scale current we argue that scale invariance implies conformal invariance. The proof relies on the Wess-Zumino consistency condition for the Weyl anomaly.

References in corpus (1)

• Unitarity, Locality, and Scale versus Conformal Invariance in Four Dimensions

Cited by in corpus (1)

• Euclidean M-theory background dual to three-dimensional scale invariant field theory without conformal invariance