High Energy Physics - Theory
[Submitted on 2 Aug 2021]
Title:Comments on compatibility between Conformal symmetry and Continuous higher-form symmetries
View PDFAbstract: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.
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