Instanton sums and five-dimensional gauge theories

Albion Lawrence, Nikita Nekrasov

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


We analyze the vector multiplet prepotential of d = 4, script N = 2 type IIA compactifications. We find that the world-sheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension compactified on a circle of radius gsls. We argue that the relation between space-time and world-sheet instantons is natural from this point of view. We also discuss the map between the type IIA world-sheet instantons and the space-time instantons in the heterotic dual.

Original languageEnglish
Pages (from-to)239-265
Number of pages27
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 2 Mar 1998
Externally publishedYes


  • Calabi-Yau compactifications
  • M-theory
  • String theory


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