Target space duality I: General theory

Orlando Alvarez

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


We develop a systematic framework for studying target space duality at the classical level. We show that target space duality between manifolds M and M̃ arises because of the existence of a very special symplectic manifold. This manifold locally looks like M×M̃ and admits a double fibration. We analyze the local geometric requirements necessary for target space duality and prove that both manifolds must admit flat orthogonal connections. We show how abelian duality, nonabelian duality and Poisson-Lie duality are all special cases of a more general framework. As an example we exhibit new (nonlinear) dualities in the case M=M̃=Rn.

Original languageEnglish (US)
Pages (from-to)659-681
Number of pages23
JournalNuclear Physics B
Issue number3
StatePublished - Sep 25 2000
Externally publishedYes


  • 02.40.-k
  • 03.50.-z
  • 11.25.-w
  • Duality
  • Geometry
  • Strings

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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