Five-brane effective action in M-theory

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On the world-volume of an M-theory five-brane propagates a two-form with self-dual field strength. As this field is non-Lagrangian, there is no obvious framework for determining its partition function. An analogous problem exists in Type IIB superstring theory for the self-dual five-form. The resolution of these problems and definition of the partition function is explained. A more complete analysis of perturbative anomaly cancellation for M-theory five-branes is also presented, uncovering some surprising details.

Original languageEnglish (US)
Pages (from-to)103-133
Number of pages31
JournalJournal of Geometry and Physics
Issue number2
StatePublished - May 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


  • Five-brane
  • M-theory
  • Partition function
  • Perturbative anomaly cancellation


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