Counting Nambu-Goldstone modes of higher-form global symmetries
Yoshimasa Hidaka, Yuji Hirono, Ryo Yokokura
TL;DR
This paper develops a generalized framework for counting Nambu-Goldstone modes arising from the spontaneous breaking of higher-form global symmetries, extending effective field theory methods and deriving a new counting formula.
Contribution
It introduces a generalized coset construction and a novel formula for counting NG modes in higher-form symmetry breaking scenarios.
Findings
Derived a counting formula involving expectation values of conserved charge commutators.
Extended effective field theory techniques to higher-form symmetries.
Provided a systematic approach for analyzing NG modes in complex symmetry breaking patterns.
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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