Higher-group structure in 2n-dimensional axion-electrodynamics

Tatsuki Nakajima, Tadakatsu Sakai, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We investigate 2n-dimensional axion electrodynamics for the purpose of exploring a higher-group structure underlying it. This is manifested as a Green-Schwarz transformation of the background gauge fields that couple minimally to the conserved currents. The n = 3 case is studied most intensively. We derive the identities of correlation functions among the global symmetry generators by using a gauge transformation that maps two correlation functions with each other. A key ingredient in this computation is given by the Green-Schwarz transformation and the ’t Hooft anomalies associated with the gauge transformation. The algebraic structure of these results and its physical interpretations are discussed in detail. In particular, we find that the higher-group structure for n = 3 is endowed with a multi-ary operation among the symmetry generators.

Original languageEnglish
Article number150
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2023 Feb


  • Anomalies in Field and String Theories
  • Field Theories in Higher Dimensions
  • Global Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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