Duality symmetry of script N = 4 Yang-Mills theory on T3

Feike Hacquebord, Herman Verlinde

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23 Scopus citations


We study the spectrum of BPS states in script N = 4 supersymmetric U(N) Yang-Mills theory. This theory has been proposed to describe M-theory on T3 in the discrete light-cone formalism. We find that the degeneracy of irreducible BPS bound states in this model exhibits a (partially hidden) SL(5,ℤ) duality symmetry. Besides the electro-magnetic symmetry, this duality group also contains Nahm-like transformations that interchange the rank N of the gauge group with some of the magnetic or electric fluxes. In the M-theory interpretation, this mapping amounts to a reflection that interchanges the longitudinal direction with one of the transverse directions.

Original languageEnglish (US)
Pages (from-to)609-622
Number of pages14
JournalNuclear Physics B
Issue number3
StatePublished - Dec 29 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • BPS spectrum
  • Matrix theory
  • Supersymmetric Yang-Mills theory


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