5d to 3d compactifications and discrete anomalies

Matteo Sacchi, Orr Sela, Gabi Zafrir

Research output: Contribution to journalArticlepeer-review


Much insight into the dynamics of quantum field theories can be gained by studying the relationship between field theories in different dimensions. An interesting observation is that when two theories are related by dimensional reduction on a compact surface, their ’t Hooft anomalies corresponding to continuous symmetries are also related: the anomaly polynomial of the lower-dimensional theory can be obtained by integrating that of the higher-dimensional one on the compact surface. Naturally, this relation only holds if both theories are even dimensional. This raises the question of whether similar relations can also hold for the case of anomalies in discrete symmetries, which might be true even in odd dimensions. The natural generalization to discrete symmetries is that the anomaly theories, associated with the lower and higher dimensional theories, would be related by reduction on the compact surface. We explore this idea for compactifications of 5d superconformal field theories (SCFTs) to 3d on Riemann surfaces with global-symmetry fluxes. In this context, it can be used both as a check for these compactification constructions and for discovering new anomalies in the 5d SCFTs. This opens the way to applying the same idea of dimensional reduction of the anomaly theory to more general types of compactifications.

Original languageEnglish
Article number185
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).


  • Anomalies in Field and String Theories
  • Discrete Symmetries
  • Global Symmetries
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of '5d to 3d compactifications and discrete anomalies'. Together they form a unique fingerprint.

Cite this