## Abstract

When n M5 branes coincide on an A type singularity, ℂ^{2}/ℤ_{k}, 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 S_{n} 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 S_{n} flavor symmetry is gauged, and at partial coincidence the corresponding subgroup of S_{n} 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 language | English |
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Article number | 168 |

Journal | Journal of High Energy Physics |

Volume | 2018 |

Issue number | 7 |

DOIs | |

State | Published - 1 Jul 2018 |

Externally published | Yes |

### Bibliographical note

Publisher Copyright:© 2018, The Author(s).

## Keywords

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

## ASJC Scopus subject areas

- Nuclear and High Energy Physics