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arxiv: 2007.15901 · v1 · pith:U3UQYPLG · submitted 2020-07-31 · hep-th · cond-mat.str-el· hep-ph· nucl-th

Counting Nambu-Goldstone modes of higher-form global symmetries

Yoshimasa Hidaka , Yuji Hirono , Ryo Yokokura This is my paper

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classification hep-th cond-mat.str-elhep-phnucl-th
keywords modeshigher-formsymmetriesbreakingcountingglobalnambu-goldstoneassociated
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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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