Compactifications of 6d N = (1, 0) SCFTs with non-trivial Stiefel-Whitney classes

Kantaro Ohmori, Yuji Tachikawa, Gabi Zafrir

Research output: Contribution to journalArticlepeer-review


We consider compactifications of very Higgsable 6dN=(1, 0) SCFTs on T 2 with non-trivial Stiefel-Whitney classes (or equivalently ’t Hooft magnetic fluxes) introduced for their flavor symmetry groups. These systems can also be studied as twisted S 1 compactifications of the corresponding 5d theories. We deduce various properties of the resulting 4d N=2 SCFTs by combining these two viewpoints. In particular, we find that all 4d rank-1 N=2 SCFTs with a dimension-6 Coulomb branch operator with flavor symmetry e 8 , usp(10), su(4) and su(3) can be uniformly obtained by starting from a single-tensor theory in 6d. We also have a mostly independent appendix where we propose a rule to determine the Coulomb branch dimensions of 4dN=2 theories obtained by T 2 compactifications of 6d very Higgsable theories with and without Stiefel-Whitney twist.

Original languageEnglish
Article number6
JournalJournal of High Energy Physics
Issue number4
StatePublished - 1 Apr 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019, The Author(s).


  • Field Theories in Higher Dimensions
  • String Duality
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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