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arXiv · 2007.15901

Counting Nambu-Goldstone modes of higher-form global symmetries

Yoshimasa Hidaka·Yuji Hirono·Ryo Yokokura
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Abstract

We discuss the counting of Nambu-Goldstone (NG) modes associated with the spontaneous breaking of higher-form global symmetries. Effective field theories of NG modes are developed based on symmetry breaking patterns, using a generalized coset construction for higher-form symmetries. We derive a formula of the number of gapless NG modes, which involves expectation values of the commutators of conserved charges, possibly of different degrees.

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Yoshimasa Hidaka, Yuji Hirono, Ryo Yokokura. 2020-07-31. Counting Nambu-Goldstone modes of higher-form global symmetries. https://doi.org/10.1103/physrevlett.126.071601

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