Compactifying 5d superconformal field theories to 3d

Matteo Sacchi, Orr Sela, Gabi Zafrir

Research output: Contribution to journalArticlepeer-review


Building on recent progress in the study of compactifications of 6d (1, 0) superconformal field theories (SCFTs) on Riemann surfaces to 4dN = 1 theories, we initiate a systematic study of compactifications of 5dN = 1 SCFTs on Riemann surfaces to 3dN = 2 theories. Specifically, we consider the compactification of the so-called rank 1 Seiberg ENf+1 SCFTs on tori and tubes with flux in their global symmetry, and put the resulting 3d theories to various consistency checks. These include matching the (usually enhanced) IR symmetry of the 3d theories with the one expected from the compactification, given by the commutant of the flux in the global symmetry of the corresponding 5d SCFT, and identifying the spectrum of operators and conformal manifolds predicted by the 5d picture. As the models we examine are in three dimensions, we encounter novel elements that are not present in compactifications to four dimensions, notably Chern-Simons terms and monopole superpotentials, that play an important role in our construction. The methods used in this paper can also be used for the compactification of any other 5d SCFT that has a deformation leading to a 5d gauge theory.

Original languageEnglish
Article number149
JournalJournal of High Energy Physics
Issue number9
StatePublished - Sep 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).


  • Field Theories in Higher Dimensions
  • Field Theories in Lower Dimensions
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Compactifying 5d superconformal field theories to 3d'. Together they form a unique fingerprint.

Cite this