From 6d flows to 4d flows

Shlomo S. Razamat, Evyatar Sabag, Gabi Zafrir

Research output: Contribution to journalArticlepeer-review


SCFTs in six dimensions are interrelated by networks of RG flows. Compactifying such models on a Riemann surface with flux for the 6d global symmetry, one can obtain a wide variety of theories in four dimensions. These four dimensional models are also related by a network of RG flows. In this paper we study some examples of four dimensional flows relating theories that can be obtained from six dimensions starting with different SCFTs connected by 6d RG flows. We compile a dictionary between different orders of such flows, 6d → 6d → 4d and 6d → 4d → 4d, in the particular case when the six dimensional models are the ones residing on M5 branes probing different A-type singularities. The flows we study are triggered by vacuum expectation values (vevs) to certain operators charged under the six dimensional symmetry. We find that for generic choices of parameters the different orders of flows, 6d → 6d → 4d and 6d → 4d → 4d, involve compactifications on different Riemann surfaces with the difference being in the number of punctures the surface has.

Original languageEnglish
Article number108
JournalJournal of High Energy Physics
Issue number12
StatePublished - 1 Dec 2019
Externally publishedYes

Bibliographical note

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


  • Field Theories in Higher Dimensions
  • Super- symmetry and Duality
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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