Counting Nambu-Goldstone modes of higher-form global symmetries

2020/07/31 by Yoshimasa Hidaka, Yuji Hirono, Ryo Yokokura · 1 voice
Physics and Astronomy · #cond-mat.str-el #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevlett.126.071601

published as Phys. Rev. Lett. 126, 071601 (2021) · 7 pages, no figure

arxiv created 2020/07/31 · arxiv published 2020/07/31 · arxiv updated 2021/02/24

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.

Discussions

• This is really nice, especially the physical picture! The coset construction has also recently been picked back up in the context of counting goldstones for spontaneously broken higher-form symmetries [bsky, 2 points, 0 comments]

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