Speaker
Yunqin Zheng
(Kavli IPMU, ISSP, U.Tokyo)
Description
We will discuss 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. In particular, we show that some gapless, scale invariant quantum field theories are not CFTs.
