Discrete gauging in six dimensions

Amihay Hanany, Gabi Zafrir

Research output: Contribution to journalArticlepeer-review


When n M5 branes coincide on an A type singularity, ℂ2/ℤk, there is a multitude of tensionless strings which arise in the spectrum. The low energy theory when all M5 branes are separated at the singularity is given by a linear quiver with parameters n and k. The theory has a multitude of phases, as many as partitions of n, each characterized by a different Higgs branch. Each such Higgs branch can be described by a Coulomb branch of a 3d N= 4 quiver. For example, at finite coupling, when all branes are separated, the quiver has a bouquet of n U(1) nodes connected to a single node. There is a natural discrete non Abelian Sn global symmetry which acts in the theory by permuting n identical objects. It acts in particular on the Higgs branch at the above finite coupling phase. It is conjectured that at the coincident point this discrete Sn flavor symmetry is gauged, and at partial coincidence the corresponding subgroup of Sn is gauged. This elegant and simple effect solves several problems which are raised recently on the physics of multiple M5 branes on an A type singularity. Similar results on multitude of phases are concluded for a system of n M5 branes on an A type singularity next to an M9 plane.

Original languageEnglish
Article number168
JournalJournal of High Energy Physics
Issue number7
StatePublished - 1 Jul 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018, 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


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