BPS quantization of the five-brane

Robbert Dijkgraaf, Erik Verlinde, Herman Verlinde

Research output: Contribution to journalArticlepeer-review

89 Scopus citations


We give a unified description of all BPS states of M-theory compactified on T5 in terms of the five-brane. We compute the mass spectrum and degeneracies and find that the SO(5,5,ℤ) U-duality symmetry naturally arises as a T-duality by assuming that the world-volume theory of the five-brane itself is described by a string theory. We also consider the compactification on S1/ℤ2 × T4, and give a new explanation for its correspondence with heterotic string theory by exhibiting its dual equivalence to M-theory on K3 × S1.

Original languageEnglish (US)
Pages (from-to)89-113
Number of pages25
JournalNuclear Physics B
Issue number1-2
StatePublished - Feb 17 1997

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • BPS states
  • Black holes
  • Duality
  • Entropy
  • Five-brane
  • M-theory
  • String theory


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