Comments on compatibility between Conformal symmetry and Continuous higher-form symmetries

Abstract

We study the compatibility between the conformal symmetry together with the unitarity and the continuous higher-form symmetries. We show that the d-dimensional unitary conformal field theories are not consistent with continuous p-form symmetries for certain (d,p), assuming that the corresponding conserved current is a conformal primary operator. We further discuss several dynamical applications of this constraint.

14 pages, 5 tables

References in corpus (2)

• Generalized Global Symmetries
• Tutorial on Scale and Conformal Symmetries in Diverse Dimensions