N = 8 Superconformal gauge theories and M2 branes

Sergio Benvenuti, Diego Rodríguez-Gómez, Erik Tonni, Herman Verlinde

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60 Scopus citations


Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and = 8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as an extension of ordinary Lie algebras. Recent no-go theorems on the existence of 3-algebras are circumvented by relaxing the assumption that the invariant metric is positive definite. The gauge group is non compact, and its maximally compact subgroup can be chosen to be any ordinary Lie group, under which the matter fields are adjoints or singlets. Interestingly, the theories are parity invariant and do not admit any tunable coupling constant.

Original languageEnglish (US)
Article number078
JournalJournal of High Energy Physics
Issue number1
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Brane dynamics in gauge theories
  • Conformal field models in string theory
  • M-theory


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