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

Yasunori Lee; Yunqin Zheng

doi:10.1103/physrevd.104.085005

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arXiv · 2108.00732

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

Yasunori Lee·Yunqin Zheng

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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.

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Yasunori Lee, Yunqin Zheng. 2021-08-02. Comments on compatibility between Conformal symmetry and Continuous higher-form symmetries. https://doi.org/10.1103/physrevd.104.085005

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