Discrete gauging in six dimensions View Full Text


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Article Info

DATE

2018-07

AUTHORS

Amihay Hanany, Gabi Zafrir

ABSTRACT

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. More... »

PAGES

168

References to SciGraph publications

  • 2007-11-16. Counting BPS operators in gauge theories: quivers, syzygies and plethystics in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2016-06. Quiver theories for moduli spaces of classical group nilpotent orbits in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-04. Branes and the Kraft-Procesi transition: classical case in JOURNAL OF HIGH ENERGY PHYSICS
  • 1978-10. Polarizations in the classical groups in MATHEMATISCHE ZEITSCHRIFT
  • 2014-10. Highest weight generating functions for Hilbert series in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05. Exceptional indices in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-03-21. Branes at orbifolds versus Hanany Witten in six dimensions in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/jhep07(2018)168

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    http://dx.doi.org/10.1007/jhep07(2018)168

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